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X-WR-CALDESC:Events for CMSA
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20211209T093000
DTEND;TZID=America/New_York:20211209T143000
DTSTAMP:20250328T200233Z
CREATED:20230705T082223Z
LAST-MODIFIED:20250328T200233Z
UID:10000072-1639042200-1639060200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture - Karen Uhlenbeck
DESCRIPTION:Karen Uhlenbeck (Institute for Advanced Study) \nTitle: The Noether Theorems in Geometry: Then and Now \nAbstract: The 1918 Noether theorems were a product of the general search for energy and momentum conservation in Einstein’s newly formulated theory of general relativity. Although widely referred to as the connection between symmetry and conservation laws\, the theorems themselves are often not understood properly and hence have not been as widely used as they might be. In the first part of the talk\, I outline a brief history of the theorems\, explain a bit of the language\, translate the first theorem into coordinate invariant language and give a few examples. I will mention only briefly their importance in physics and integrable systems. In the second part of the talk\, I describe why they are still relevant in geometric analysis: how they underlie standard techniques and why George Daskalopoulos and I came to be interested in them for our investigation into the best Lipschitz maps of Bill Thurston. Some applications to integrals on a domain a hyperbolic surface leave open possibilities for applications to integrals on domains which are locally symmetric spaces of higher dimension. The talk finishes with an example or two from the literature. \nTalk Chair: Laura DeMarco \nVIDEO
URL:https://live-hu-cmsa-222.pantheonsite.io/event/12-9-21-math-science-literature-lecture-karen-uhlenbeck/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Uhlenbeck_12921.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20211004T110000
DTEND;TZID=America/New_York:20211004T123000
DTSTAMP:20250409T192600Z
CREATED:20240212T110410Z
LAST-MODIFIED:20250409T192600Z
UID:10002032-1633345200-1633350600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Math Science Lectures in Honor of Raoul Bott: Michael Freedman
DESCRIPTION:On October 4th and October 5th\, 2021\, Harvard CMSA hosted the annual Math Science Lectures in Honor of Raoul Bott. This year’s speaker was Michael Freedman (Microsoft). The lectures took place on Zoom. \nThis will be the third annual lecture series held in honor of Raoul Bott. \n\n\n\n\nLecture 1\nOctober 4th\, 11:00am (Boston time)\nTitle: The Universe from a single Particle \nAbstract: I will explore a toy model  for our universe in which spontaneous symmetry breaking – acting on the level of operators (not states) – can produce the interacting physics we see about us from the simpler\, single particle\, quantum mechanics we study as undergraduates. Based on joint work with Modj Shokrian Zini\, see arXiv:2011.05917 and arXiv:2108.12709. \nVideo\n\n\nLecture 2\nOctober 5th\, 11:00am (Boston time)\nTitle: Controlled Mather Thurston Theorems. \nAbstract: The “c-principle” is a cousin of Gromov’s h-principle in which cobordism rather than homotopy is required to (canonically) solve a problem. We show that in certain well-known c-principle contexts only the mildest cobordisms\, semi-s-cobordisms\, are required. In physical applications\, the extra topology (a perfect fundamental group) these cobordisms introduce could easily be hidden in the UV. This leads to a proposal to recast gauge theories such as EM and the standard model in terms of flat connections rather than curvature. See arXiv:2006.00374   \nVideo\n\n\n\n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/math-science-lectures-in-honor-of-raoul-bott-3/
LOCATION:Virtual
CATEGORIES:Event,Math Science Lectures in Honor of Raoul Bott,Special Lectures
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20211004T025100
DTEND;TZID=America/New_York:20211005T025100
DTSTAMP:20250328T200226Z
CREATED:20230705T081940Z
LAST-MODIFIED:20250328T200226Z
UID:10000071-1633315860-1633402260@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Math Science Lectures in Honor of Raoul Bott
DESCRIPTION:On October 4th and October 5th\, 2021\, Harvard CMSA will host its annual Math Science Lectures in Honor of Raoul Bott. This year’s speaker will be Michael Freedman (Microsoft). The lectures will take place from 11:00am – 12:15pm (ET) on Zoom. \nThis will be the third annual lecture series held in honor of Raoul Bott. \n\n\n\n\nLecture 1\nOctober 4th\, 11:00am (Boston time)\nTitle: The Universe from a single Particle \nAbstract: I will explore a toy model  for our universe in which spontaneous symmetry breaking – acting on the level of operators (not states) – can produce the interacting physics we see about us from the simpler\, single particle\, quantum mechanics we study as undergraduates. Based on joint work with Modj Shokrian Zini\, see arXiv:2011.05917 and arXiv:2108.12709. \nVideo\n\n\nLecture 2\nOctober 5th\, 11:00am (Boston time)\nTitle: Controlled Mather Thurston Theorems. \nAbstract: The “c-principle” is a cousin of Gromov’s h-principle in which cobordism rather than homotopy is required to (canonically) solve a problem. We show that in certain well-known c-principle contexts only the mildest cobordisms\, semi-s-cobordisms\, are required. In physical applications\, the extra topology (a perfect fundamental group) these cobordisms introduce could easily be hidden in the UV. This leads to a proposal to recast gauge theories such as EM and the standard model in terms of flat connections rather than curvature. See arXiv:2006.00374   \nVideo\n\n\n\n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/math-science-lectures-in-honor-of-raoul-bott/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Public Lecture,Special Lectures
END:VEVENT
BEGIN:VEVENT
DTSTART;VALUE=DATE:20210824
DTEND;VALUE=DATE:20210825
DTSTAMP:20250328T145235Z
CREATED:20230705T081718Z
LAST-MODIFIED:20250328T145235Z
UID:10000070-1629763200-1629849599@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Big Data Conference 2021
DESCRIPTION:On August 24\, 2021\, the CMSA hosted our seventh annual Conference on Big Data. The Conference features many speakers from the Harvard community as well as scholars from across the globe\, with talks focusing on computer science\, statistics\, math and physics\, and economics. \nThe 2021 Big Data Conference took place virtually on Zoom. \nOrganizers:  \n\nShing-Tung Yau\, William Caspar Graustein Professor of Mathematics\, Harvard University\nScott Duke Kominers\, MBA Class of 1960 Associate Professor\, Harvard Business\nHorng-Tzer Yau\, Professor of Mathematics\, Harvard University\nSergiy Verstyuk\, CMSA\, Harvard University\n\nSpeakers: \n\nAndrew Blumberg\, University of Texas at Austin\nMoran Koren\, Harvard CMSA\nHima Lakkaraju\, Harvard University\nKatrina Ligett\, The Hebrew University of Jerusalem\n\n\n\n\n\nTime (ET; Boston time)\nSpeaker\nTitle/Abstract\n\n\n9:00AM\nConference Organizers\nIntroduction and Welcome\n\n\n9:10AM – 9:55AM\nAndrew Blumberg\, University of Texas at Austin\nTitle: Robustness and stability for multidimensional persistent homology \nAbstract: A basic principle in topological data analysis is to study the shape of data by looking at multiscale homological invariants. The idea is to filter the data using a scale parameter that reflects feature size. However\, for many data sets\, it is very natural to consider multiple filtrations\, for example coming from feature scale and density. A key question that arises is how such invariants behave with respect to noise and outliers. This talk will describe a framework for understanding those questions and explore open problems in the area.\n\n\n10:00AM – 10:45AM\nKatrina Ligett\, The Hebrew University of Jerusalem\nTitle: Privacy as Stability\, for Generalization \nAbstract: Many data analysis pipelines are adaptive: the choice of which analysis to run next depends on the outcome of previous analyses. Common examples include variable selection for regression problems and hyper-parameter optimization in large-scale machine learning problems: in both cases\, common practice involves repeatedly evaluating a series of models on the same dataset. Unfortunately\, this kind of adaptive re-use of data invalidates many traditional methods of avoiding overfitting and false discovery\, and has been blamed in part for the recent flood of non-reproducible findings in the empirical sciences. An exciting line of work beginning with Dwork et al. in 2015 establishes the first formal model and first algorithmic results providing a general approach to mitigating the harms of adaptivity\, via a connection to the notion of differential privacy. In this talk\, we’ll explore the notion of differential privacy and gain some understanding of how and why it provides protection against adaptivity-driven overfitting. Many interesting questions in this space remain open. \nJoint work with: Christopher Jung (UPenn)\, Seth Neel (Harvard)\, Aaron Roth (UPenn)\, Saeed Sharifi-Malvajerdi (UPenn)\, and Moshe Shenfeld (HUJI). This talk will draw on work that appeared at NeurIPS 2019 and ITCS 2020\n\n\n10:50AM – 11:35AM\nHima Lakkaraju\, Harvard University\nTitle: Towards Reliable and Robust Model Explanations \nAbstract: As machine learning black boxes are increasingly being deployed in domains such as healthcare and criminal justice\, there is growing emphasis on building tools and techniques for explaining these black boxes in an interpretable manner. Such explanations are being leveraged by domain experts to diagnose systematic errors and underlying biases of black boxes. In this talk\, I will present some of our recent research that sheds light on the vulnerabilities of popular post hoc explanation techniques such as LIME and SHAP\, and also introduce novel methods to address some of these vulnerabilities. More specifically\, I will first demonstrate that these methods are brittle\, unstable\, and are vulnerable to a variety of adversarial attacks. Then\, I will discuss two solutions to address some of the vulnerabilities of these methods – (i) a framework based on adversarial training that is designed to make post hoc explanations more stable and robust to shifts in the underlying data; (ii) a Bayesian framework that captures the uncertainty associated with post hoc explanations and in turn allows us to generate explanations with user specified levels of confidences. I will conclude the talk by discussing results from real world datasets to both demonstrate the vulnerabilities in post hoc explanation techniques as well as the efficacy of our aforementioned solutions.\n\n\n11:40AM – 12:25PM\nMoran Koren\, Harvard CMSA\nTitle: A Gatekeeper’s Conundrum \nAbstract: Many selection processes contain a “gatekeeper”. The gatekeeper’s goal is to examine an applicant’s suitability to a proposed position before both parties endure substantial costs. Intuitively\, the introduction of a gatekeeper should reduce selection costs as unlikely applicants are sifted out. However\, we show that this is not always the case as the gatekeeper’s introduction inadvertently reduces the applicant’s expected costs and thus interferes with her self-selection. We study the conditions under which the gatekeeper’s presence improves the system’s efficiency and those conditions under which the gatekeeper’s presence induces inefficiency. Additionally\, we show that the gatekeeper can sometimes improve selection correctness by behaving strategically (i.e.\, ignore her private information with some probability).\n\n\n12:25PM\nConference Organizers\nClosing Remarks
URL:https://live-hu-cmsa-222.pantheonsite.io/event/big-data-conference-2021/
LOCATION:Virtual
CATEGORIES:Big Data Conference,Conference,Event
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/BD_21-Poster.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210615T110000
DTEND;TZID=America/New_York:20210615T123000
DTSTAMP:20240216T211240Z
CREATED:20230707T173422Z
LAST-MODIFIED:20240216T211240Z
UID:10001814-1623754800-1623760200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Nonlinear stability of Kerr black holes for small angular momentum
DESCRIPTION:Sergiu Klainerman (Princeton University) \nTitle: Nonlinear stability of Kerr black holes for small angular momentum \nAbstract: According to a well-known conjecture\,  initial data sets\,  for the Einstein vacuum equations\, sufficiently close to a Kerr solution with parameters $a\, m$\, $|a|/m <1$\, have maximal developments with complete future null infinity and with domain of outer communication (i.e complement of a future event horizon)   which approaches  (globally)  a nearby Kerr solution. I will describe the main ideas in my recent joint work with Jeremie Szeftel concerning the resolution of the conjecture for small angular momentum\, i.e. $\, $|a|/m $ sufficiently small. The work\, ArXiv:2104.11857v1\,  also depends on forthcoming work on solutions of nonlinear wave equations in realistic perturbations of Kerr\,  with Szeftel and Elena Giorgi\,  which I will also describe. \nTalk chair: Lydia Bieri  \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_klainerman/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Klainerman-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210507T110000
DTEND;TZID=America/New_York:20210509T204500
DTSTAMP:20250328T144404Z
CREATED:20230707T173106Z
LAST-MODIFIED:20250328T144404Z
UID:10000915-1620385200-1620593100@live-hu-cmsa-222.pantheonsite.io
SUMMARY:FRG Workshop on Geometric Methods for Analyzing Discrete Shapes
DESCRIPTION:This workshop will take place May 7-9 (Friday-Sunday)\, 2021 virtually on Zoom\nThe aim of the workshop is to bring together a community of researchers in mathematics\, computer science\, and data science who develop theoretical and computational models to characterize shapes and analysis of image data. \nThis workshop is part of the NSF FRG project: Geometric and Topological Methods for Analyzing Shapes. \nThe first half of the workshop will feature talks aimed at graduate students\, newcomers\, and a broad spectrum of audiences. Christopher Bishop (Stony Brook) and Keenan Crane (Carnegie Mellon) will each give two featured talks. The remaining part will have both background and research talks. There will also be organized discussions of open problems and potential applications. \nFor the discussions\, we are soliciting open problems in mathematical theory and applications of shape analysis. You are encouraged to post problems by sending an email to geometricproblemsfrg@gmail.com. \nWe invite junior researchers to present a short talk in the workshop. The session will be held on Friday\, May 7th or Saturday\, May 8th at 4pm and are expected to be 15-20 minutes in length. It is a great opportunity to share your work and get to know others at the workshop. Depending on the number of contributed talks\, the organizers will review the submissions and let you know if you have been selected. If you are interested please send your title and abstract to tianqi@cmsa.fas.harvard.edu by the end of May 2nd. \n  \nOrganizers: \n\nDavid Glickenstein\, University of Arizona\nJoel Hass\, University of California\, Davis\nPatrice Koehl\, University of California\, Davis\nFeng Luo\, Rutgers University\, New Brunswick\nTianqi Wu\, Harvard University\nShing-Tung Yau\, Harvard University\n\nFeatured lectures: \n\nChristopher Bishop\, Stony Brook\nKeenan Crane\, Carnegie Mellon\n\nSpeakers include: \n\nMiri Ben-Chen\, Technion – Israel Institute of Technology\nAlexander Bobenko\, Technische Universität Berlin\, Germany\nUlrike Buecking\, Free University\, Germany\nNadav Dym\, Duke University\nIvan Izmestiev\, Vienna University of Technology\nYanwen Luo\, Rutgers\nStephan Tillmann\, The University of Sydney\nMax Wardetzky\, University of Goettingen\nXu Xu\, Wuhan University
URL:https://live-hu-cmsa-222.pantheonsite.io/event/frg-workshop-on-geometric-methods-for-analyzing-discrete-shapes/
LOCATION:Virtual
CATEGORIES:Event,Workshop
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/FRG-Workshop-On-Geometric-Methods-For-Analyzing-Discrete-Shapes.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210503T100000
DTEND;TZID=America/New_York:20210503T160000
DTSTAMP:20240103T100239Z
CREATED:20230707T172813Z
LAST-MODIFIED:20240103T100239Z
UID:10000914-1620036000-1620057600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Computational Biology Symposium
DESCRIPTION:On May 3\, 2021 the CMSA will be hosting a Computational Biology Symposium virtually on Zoom. This symposium will be organized by Vijay Kuchroo. \nThe symposium will begin at 10:00am ET. There will be a morning and afternoon session\, with an hour break for lunch. \nVideos of the talks can be found in this Youtube playlist. Links are also available in the schedule below.\nConfirmed participants: \n\nUri Alon\, Weizmann Institute\nElana Fertig\, Johns Hopkins\nMartin Hemberg\, Brigham and Women’s Hospital\nPeter Kharchenko\, Harvard University\nSmita Krishnaswamy\, Yale University\nJohn Marioni\, EMBL-EBI\nEran Segal\, Weizmann Institute\nMeromit Singer\, Harvard Medical School\n\nSchedule:\nPDF of the schedule    Download
URL:https://live-hu-cmsa-222.pantheonsite.io/event/computational-biology-symposium/
LOCATION:20 Garden Street\, Cambridge\, MA 02138\, MA\, MA\, 02138\, United States
CATEGORIES:Event
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Compbiotextlessfeature-600x338-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210427T090000
DTEND;TZID=America/New_York:20210427T103000
DTSTAMP:20250305T174246Z
CREATED:20230707T172620Z
LAST-MODIFIED:20250305T174246Z
UID:10000913-1619514000-1619519400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Moment maps and the Yang-Mills functional
DESCRIPTION:Frances Kirwan (University of Oxford) \nTitle: Moment maps and the Yang-Mills functional \nAbstract: In the early 1980s Michael Atiyah and Raoul Bott wrote two influential papers\, ‘The Yang-Mills equations over Riemann surfaces’ and ‘The moment map and equivariant cohomology’\, bringing together ideas ranging from algebraic and symplectic geometry through algebraic topology to mathematical physics and number theory. The aim of this talk is to explain their key insights and some of the new directions towards which these papers led. \nThis talk is part of a subprogram of the Mathematical Science Literature Lecture series\, a Memorial Conference for the founders of index theory: Atiyah\, Bott\, Hirzebruch and Singer. \nTalk chair: Peter Kronheimer \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_kirwan/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Kirwan.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210423T160000
DTEND;TZID=America/New_York:20210423T183000
DTSTAMP:20250328T185338Z
CREATED:20230707T172354Z
LAST-MODIFIED:20250328T185338Z
UID:10000912-1619193600-1619202600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Indistinguishability Obfuscation: How to Hide Secrets within Software
DESCRIPTION:Amit Sahai  (UCLA) \nTitle: Indistinguishability Obfuscation: How to Hide Secrets within Software \nAbstract: At least since the initial public proposal of public-key cryptography based on computational hardness conjectures (Diffie and Hellman\, 1976)\, cryptographers have contemplated the possibility of a “one-way compiler” that translates computer programs into “incomprehensible” but equivalent forms. And yet\, the search for such a “one-way compiler” remained elusive for decades. \nIn this talk\, we look back at our community’s attempts to formalize the notion of such a compiler\, culminating in our 2001 work with Barak\, Goldreich\, Impagliazzo\, Rudich\, Vadhan\, and Yang\, which proposed the notion of indistinguishability obfuscation (iO). Roughly speaking\, iO requires that the compiled versions of any two equivalent programs (with the same size and running time) be indistinguishable to any efficient adversary. Leveraging the notion of punctured programming\, introduced in our work with Waters in 2013\, well over a hundred papers have explored the remarkable power of iO. \nWe’ll then discuss the intense effort that recently culminated in our 2020 work with Jain and Lin\, finally showing how to construct iO in such a way that\, for the first time\, we can prove the security of our iO scheme based on well-studied computational hardness conjectures in cryptography. \nTalk chair: Sergiy Verstyuk \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_sahai/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Sahai-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210420T090000
DTEND;TZID=America/New_York:20210420T103000
DTSTAMP:20250328T201355Z
CREATED:20230707T172100Z
LAST-MODIFIED:20250328T201355Z
UID:10000911-1618909200-1618914600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: The Atiyah-Singer Index Theorem
DESCRIPTION:Dan Freed (The University of Texas at Austin) \nTitle: The Atiyah-Singer Index Theorem \nAbstract: The story of the index theorem ties together the Gang of Four—Atiyah\, Bott\, Hirzebruch\, and Singer—and lies at the intersection of analysis\, geometry\, and topology. In the first part of the talk I will recount high points in the early developments. Then I turn to subsequent variations and applications. Throughout I emphasize the role of the Dirac operator. \nThis talk is part of a subprogram of the Mathematical Science Literature Lecture series\, a Memorial Conference for the founders of index theory: Atiyah\, Bott\, Hirzebruch and Singer. \nTalk chair: Cumrun Vafa \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_freed/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Freed-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210416T130000
DTEND;TZID=America/New_York:20210416T143000
DTSTAMP:20250328T201348Z
CREATED:20230707T171834Z
LAST-MODIFIED:20250328T201348Z
UID:10000910-1618578000-1618583400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Deep Networks from First Principles
DESCRIPTION:Yi MaPhoto Copyright Noah Berger / 2019\n  \nYi Ma (University of California\, Berkeley) \nTitle: Deep Networks from First Principles \nAbstract: In this talk\, we offer an entirely “white box’’ interpretation of deep (convolution) networks from the perspective of data compression (and group invariance). In particular\, we show how modern deep layered architectures\, linear (convolution) operators and nonlinear activations\, and even all parameters can be derived from the principle of maximizing rate reduction (with group invariance). All layers\, operators\, and parameters of the network are explicitly constructed via forward propagation\, instead of learned via back propagation. All components of so-obtained network\, called ReduNet\, have precise optimization\, geometric\, and statistical interpretation. There are also several nice surprises from this principled approach: it reveals a fundamental tradeoff between invariance and sparsity for class separability; it reveals a fundamental connection between deep networks and Fourier transform for group invariance – the computational advantage in the spectral domain (why spiking neurons?); this approach also clarifies the mathematical role of forward propagation (optimization) and backward propagation (variation). In particular\, the so-obtained ReduNet is amenable to fine-tuning via both forward and backward (stochastic) propagation\, both for optimizing the same objective. This is joint work with students Yaodong Yu\, Ryan Chan\, Haozhi Qi of Berkeley\, Dr. Chong You now at Google Research\, and Professor John Wright of Columbia University. \nTalk chair: Harry Shum \nSlides | Video
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_ma/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Ma-1-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210408T090000
DTEND;TZID=America/New_York:20210408T103000
DTSTAMP:20250328T201342Z
CREATED:20230707T171436Z
LAST-MODIFIED:20250328T201342Z
UID:10000909-1617872400-1617877800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Quantum error correcting codes and fault tolerance
DESCRIPTION:Peter Shor (MIT) \nTitle: Quantum error correcting codes and fault tolerance \nAbstract: We will go over the fundamentals of quantum error correction and fault tolerance and survey some of the recent developments in the field.\n\nTalk chair: Zhengwei Liu \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_shor/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Shor.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210406T090000
DTEND;TZID=America/New_York:20210427T103000
DTSTAMP:20250409T192611Z
CREATED:20230707T171215Z
LAST-MODIFIED:20250409T192611Z
UID:10000908-1617699600-1619519400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Memorial Conference for the founders of index theory: Atiyah\, Bott\, Hirzebruch\, and Singer
DESCRIPTION:In 2021\, the CMSA hosted a lecture series on the literature of the mathematical sciences. This series highlights significant accomplishments in the intersection between mathematics and the sciences. Speakers include Edward Witten\, Lydia Bieri\, Simon Donaldson\, Michael Freedman\, Dan Freed\, and many more. \nVideos of these talks can be found in this Youtube playlist. \n \nIn the Spring 2021 semester\, the CMSA hosted a sub-program on this series titled A Memorial Conference for the founders of index theory: Atiyah\, Bott\, Hirzebruch and Singer. Below is the schedule for talks in that subprogram \nApril 6\, 2021 | 9:00 – 10:30am ET\n\n\n\n\nEdward Witten (IAS) \nTitle: Isadore Singer’s Work on Analytic Torsion\n\n\n\n\n\nApril 13\, 2021 | 9:00 – 10:30am ET\n\n\n\n\nClaire Voisin (College de France) \nTitle: K-theory and characteristic classes in topology and complex geometry  (a tribute to Atiyah and Hirzebruch)\n\n\n\n\n\nApril 20\, 2021 | 9:00 – 10:30am ET\n\n\n\n\nDan Freed (the University of Texas at Austin) \nTitle: The Atiyah-Singer Index Theorem\n\n\n\n\n\nApril 27\, 2021 | 9:00 – 10:30am ET\n\n\n\n\nFrances Kirwan (University of Oxford) \nTitle: Moment maps and the Yang-Mills functional
URL:https://live-hu-cmsa-222.pantheonsite.io/event/memorial-conference-for-the-founders-of-index-theory-atiyah-bott-hirzebruch-and-singer/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Special Lectures
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210406T090000
DTEND;TZID=America/New_York:20210406T103000
DTSTAMP:20250328T201336Z
CREATED:20230707T115709Z
LAST-MODIFIED:20250328T201336Z
UID:10000907-1617699600-1617705000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Isadore Singer’s Work on Analytic Torsion
DESCRIPTION:Edward Witten (IAS) \nTitle: Isadore Singer’s Work on Analytic Torsion \nAbstract:  I will review two famous papers of Ray and Singer on analytic torsion written approximately half a century ago. Then I will sketch the influence of analytic torsion in a variety of areas of physics including anomalies\, topological field theory\, and string theory. \nThis talk is part of a subprogram of the Mathematical Science Literature Lecture series\, a Memorial Conference for the founders of index theory: Atiyah\, Bott\, Hirzebruch\, and Singer. \nTalk chair: Cumrun Vafa \nSlides | Video
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_witten-2/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Witten.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210330T090000
DTEND;TZID=America/New_York:20210330T223000
DTSTAMP:20250305T210259Z
CREATED:20230707T115407Z
LAST-MODIFIED:20250305T210259Z
UID:10000906-1617094800-1617143400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: On the History of quantum cohomology and homological mirror symmetry
DESCRIPTION:Maxim Kontsevich  (IHÉS) \nTitle: On the History of quantum cohomology and homological mirror symmetry \nAbstract: About 30 years ago\, string theorists made remarkable discoveries of hidden structures in algebraic geometry.  First\, the usual cup-product on the cohomology of a complex projective variety admits a canonical multi-parameter deformation to so-called quantum product\, satisfying a nice system of differential equations (WDVV equations).  The second discovery\, even more striking\,  is Mirror Symmetry\, a duality between families of Calabi-Yau varieties acting as a mirror reflection on the Hodge diamond. \nLater it was realized that the quantum product belongs to the realm of symplectic geometry\, and a half of mirror symmetry (called Homological Mirror Symmetry) is a duality between complex algebraic and symplectic varieties. The search of correct definitions and possible generalizations lead to great advances in many domains\, giving mathematicians new glasses\, through which they can see familiar objects in a completely new way. \nI will review the history of major mathematical advances in the subject of HMS\, and the swirl of ideas around it. \nTalk chair: Paul Seidel \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_kontsevich/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Kontsevich-.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210223T090000
DTEND;TZID=America/New_York:20210223T103000
DTSTAMP:20240103T093827Z
CREATED:20230707T115234Z
LAST-MODIFIED:20240103T093827Z
UID:10000905-1614070800-1614076200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Homological (homotopical) algebra and moduli spaces in Topological Field theories
DESCRIPTION:Kenji Fukaya (Simons Center for Geometry and Physics) \nTitle: Homological (homotopical) algebra and moduli spaces in Topological Field theories \nAbstract: Moduli spaces of various gauge theory equations and of various versions of (pseudo) holomorphic curve equations have played important role in geometry in these 40 years. Started with Floer’s work people start to obtain more sophisticated object such as groups\, rings\, or categories from (system of) moduli spaces. I would like to survey some of those works and the methods to study family of moduli spaces systematically. \nTalk chair: Peter Kronheimer \nSlides | Video
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_fukaya/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Fukaya-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210127T090000
DTEND;TZID=America/New_York:20210127T103000
DTSTAMP:20250328T200938Z
CREATED:20230707T114914Z
LAST-MODIFIED:20250328T200938Z
UID:10000904-1611738000-1611743400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Discrepancy Theory and Randomized Controlled Trials
DESCRIPTION:Dan Spielman (Yale University) \nTitle: Discrepancy Theory and Randomized Controlled Trials \nAbstract: Discrepancy theory tells us that it is possible to partition vectors into sets so that each set looks surprisingly similar to every other.  By “surprisingly similar” we mean much more similar than a random partition. I will begin by surveying fundamental results in discrepancy theory\, including Spencer’s famous existence proofs and Bansal’s recent algorithmic realizations of them. Randomized Controlled Trials are used to test the effectiveness of interventions\, like medical treatments. Randomization is used to ensure that the test and control groups are probably similar.  When we know nothing about the experimental subjects\, uniform random assignment is the best we can do. When we know information about the experimental subjects\, called covariates\, we can combine the strengths of randomization with the promises of discrepancy theory. This should allow us to obtain more accurate estimates of the effectiveness of treatments\, or to conduct trials with fewer experimental subjects. I will introduce the Gram-Schmidt Walk algorithm of Bansal\, Dadush\, Garg\, and Lovett\, which produces random solutions to discrepancy problems. I will then explain how Chris Harshaw\, Fredrik Sävje\, Peng Zhang\, and I use this algorithm to improve the design of randomized controlled trials. Our Gram-Schmidt Walk Designs have increased accuracy when the experimental outcomes are correlated with linear functions of the covariates\, and are comparable to uniform random assignments in the worst case. \nTalk chair: Salil Vadhan \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_spielman/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_-Spielman-1-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210113T090000
DTEND;TZID=America/New_York:20210113T103000
DTSTAMP:20250305T210038Z
CREATED:20230707T114651Z
LAST-MODIFIED:20250305T210038Z
UID:10000903-1610528400-1610533800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Quantum topology and new types of modularity
DESCRIPTION:Don Zagier (Max Planck Institute for Mathematics and International Centre for Theoretical Physics) \nTitle: Quantum topology and new types of modularity \nAbstract: The talk concerns two fundamental themes of modern 3-dimensional topology and their unexpected connection with a theme coming from number theory. A deep insight of William Thurston in the mid-1970s is that the vast majority of complements of knots in the 3-sphere\, or more generally of 3-manifolds\, have a unique metric structure as hyperbolic manifolds of constant curvature -1\, so that 3-dimensional topology is in some sense not really a branch of topology at all\, but of differential geometry. In a different direction\, the work of Vaughan Jones and Ed Witten in the late 1980s gave rise to the field of Quantum Topology\, in which new types of invariants of knot complements and 3-manifolds are introduced that have their origins in ideas coming from quantum field theory. These two themes then became linked by Kashaev’s famous Volume Conjecture\, now some 25 years old\, which says that the Kashaev invariant _N of a hyperbolic knot K (this is a quantum invariant defined for each positive integer N and whose values are algebraic numbers) grows exponentially as N tends to infinity with an exponent proportional to the hyperbolic volume of the knot complement. About 10 years ago\, I was led by numerical experiments to the discovery that Kashaev’s invariant could be upgraded to an invariant having rational numbers as its argument (with the original invariant being the value at 1/N) and that the Volume Conjecture then became part of a bigger story saying that the new invariant has some sort of strange transformation property under the action x -> (ax+b)/(cx+d) of the modular group SL(2\,Z) on the argument. This turned out to be only the beginning of a fascinating and multi-faceted story relating quantum invariants\, q-series\, modularity\, and many other topics. In the talk\, which is intended for a general mathematical audience\, I would like to recount some parts of this story\, which is joint work with Stavros Garoufalidis (and of course involving contributions from many other authors). The “new types of modularity” in the title refer to a specific byproduct of these investigations\, namely that there is a generalization of the classical notion of holomorphic modular form – which plays an absolutely central role in modern number theory – to a new class of holomorphic functions in the upper half-plane that no longer satisfy a transformation law under the action of the modular group\, but a weaker extendability property instead. This new class\, called “holomorphic quantum modular forms”\, turns out to contain many other functions of a more number-theoretical nature as well as the original examples coming from quantum invariants. \nTalk chair: Mark Kisin \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_zagier/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_-Zagier.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201204T080000
DTEND;TZID=America/New_York:20201204T093000
DTSTAMP:20240216T211848Z
CREATED:20230707T114517Z
LAST-MODIFIED:20240216T211848Z
UID:10000902-1607068800-1607074200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Michael Atiyah: Geometry and Physics
DESCRIPTION:Nigel Hitchin (University of Oxford) \nTitle: Michael Atiyah: Geometry and Physics \nAbstract: In mid-career\, as an internationally renowned mathematician\, Michael Atiyah discovered that some problems in physics responded to current work in algebraic geometry and this set him on a path to develop an active interface between mathematics and physics which was formative in the links which are so active today. The talk will focus\, in a fairly basic fashion\, on some examples of this interaction\, which involved both applying physical ideas to solve mathematical problems and introducing mathematical ideas to physicists. \nTalk chair: Peter Kronheimer \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_hitchin/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Hitchin-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201202T080000
DTEND;TZID=America/New_York:20201202T093000
DTSTAMP:20250409T192441Z
CREATED:20230707T114306Z
LAST-MODIFIED:20250409T192441Z
UID:10000901-1606896000-1606901400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Is relativity compatible with quantum theory?
DESCRIPTION:Arthur Jaffe (Harvard University) \nTitle: Is relativity compatible with quantum theory? \nAbstract: We review the background\, mathematical progress\, and open questions in the effort to determine whether one can combine quantum mechanics\, special relativity\, and interaction together into one mathematical theory. This field of mathematics is known as “constructive quantum field theory.”  Physicists believe that such a theory describes experimental measurements made over a 70 year period and now refined to 13-decimal-point precision—the most accurate experiments ever performed. \nTalk chair: Zhengwei Liu \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_jaffe/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Jaffe-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201125T090000
DTEND;TZID=America/New_York:20201125T103000
DTSTAMP:20250328T200913Z
CREATED:20230707T114042Z
LAST-MODIFIED:20250328T200913Z
UID:10000900-1606294800-1606300200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Theorems of Torelli type
DESCRIPTION:Eduard Jacob Neven Looijenga (Tsinghua University & Utrecht University) \nTitle: Theorems of Torelli type \nAbstract: Given a closed manifold of even dimension 2n\, then Hodge showed around 1950 that a  kählerian complex structure on that manifold determines a decomposition of its complex cohomology. This decomposition\, which can potentially vary continuously with the complex structure\, extracts from a non-linear given\,  linear data. It can contain a lot of information. When there is essentially no loss of data in this process\, we say that the Torelli theorem holds.  We review the underlying theory and then survey some cases where this is the case. This will include the classical case n=1\, but the emphasis will be on K3 manifolds (n=2) and more generally\, on hyperkählerian manifolds. These cases stand out\, since one can then also tell which decompositions occur. \nTalk chair: Gerard van der Geer \nVideo 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_looijenga/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Looijenga-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201123T100000
DTEND;TZID=America/New_York:20201123T113000
DTSTAMP:20250328T200851Z
CREATED:20230707T113517Z
LAST-MODIFIED:20250328T200851Z
UID:10000898-1606125600-1606131000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Subfactors–in Memory of Vaughan Jones
DESCRIPTION:Zhengwei Liu (Tsinghua University) \nTitle: Subfactors–in Memory of Vaughan Jones \nAbstract: Jones initiated modern subfactor theory in the early 1980s and investigated this area for his whole academic life. Subfactor theory has both deep and broad connections with various areas in mathematics and physics. One well-known peak in the development of subfactor theory is the discovery of the Jones polynomial\, for which Jones won the Fields Medal in 1990. Let us travel back to the dark room at the beginning of the story\, to appreciate how radically our viewpoint has changed. \nTalk chair: Arthur Jaffe \nSlides | Video 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_liu/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Liu-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201123T080000
DTEND;TZID=America/New_York:20201123T093000
DTSTAMP:20250328T200904Z
CREATED:20230707T113744Z
LAST-MODIFIED:20250328T200904Z
UID:10000899-1606118400-1606123800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Noncommutative Geometry\, the Spectral Aspect
DESCRIPTION:Alain Connes (Collège de France) \nTitle: Noncommutative Geometry\, the Spectral Aspect \nAbstract: This talk will be a survey of the spectral side of noncommutative geometry\, presenting the new paradigm of spectral triples and showing its relevance for the fine structure of space-time\, its large scale structure and also in number theory in connection with the zeros of the Riemann zeta function. \nTalk chair: Peter Kronheimer \nVideo 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_connes/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Connes-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201120T080000
DTEND;TZID=America/New_York:20201120T093000
DTSTAMP:20250328T200635Z
CREATED:20230707T113302Z
LAST-MODIFIED:20250328T200635Z
UID:10000897-1605859200-1605864600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Homotopy spectra and Diophantine equations
DESCRIPTION:Yuri Manin (Max Planck Institute for Mathematics) \nTitle: Homotopy spectra and Diophantine equations \nAbstract: For a long stretch of time in the history of mathematics\, Number Theory and Topology formed vast\, but disjoint domains of mathematical knowledge. Origins of number theory can be traced back to the Babylonian clay tablet Plimpton 322 (about 1800 BC)  that contained a list of integer solutions of the “Diophantine” equation $a^2+b^2=c^2$: archetypal theme of number theory\, named after Diophantus of Alexandria (about 250 BC). Topology was born much later\, but arguably\, its cousin — modern measure theory\, — goes back to Archimedes\, author of Psammites (“Sand Reckoner”)\, who was approximately a contemporary of Diophantus. In modern language\, Archimedes measures the volume of observable universe by counting the number of small grains of sand necessary to fill this volume. Of course\, many qualitative geometric models and quantitative estimates of the relevant distances precede his calculations. Moreover\, since the estimated numbers of grains of sand are quite large (about $10^{64}$)\, Archimedes had to invent and describe a system of notation for large numbers going far outside the possibilities of any of the standard ancient systems. The construction of the first bridge between number theory and topology was accomplished only about fifty years ago: it is the theory of spectra in stable homotopy theory. In particular\, it connects $Z$\, the initial object in the theory of commutative rings\, with the sphere spectrum $S$. This connection poses the challenge: discover a new information in number theory using the developed independently machinery of homotopy theory. In this talk based upon the authors’ (Yu. Manin and M. Marcolli) joint research project\, I suggest to apply homotopy spectra to the problem of distribution of rational points upon algebraic manifolds. \nTalk chair: Michael Hopkins \nSlides | Video
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_manin/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Manin-2-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201118T080000
DTEND;TZID=America/New_York:20201118T093000
DTSTAMP:20250328T201157Z
CREATED:20230707T113020Z
LAST-MODIFIED:20250328T201157Z
UID:10000896-1605686400-1605691800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Log Calabi-Yau fibrations
DESCRIPTION:Caucher Birkar (University of Cambridge) \nTitle: Log Calabi-Yau fibrations \nAbstract: Fano and Calabi-Yau varieties play a fundamental role in algebraic geometry\, differential geometry\, arithmetic geometry\, mathematical physics\, etc. The notion of log Calabi-Yau fibration unifies Fano and Calabi-Yau varieties\, their fibrations\, as well as their local birational counterparts such as flips and singularities. Such fibrations can be examined from many different perspectives. The purpose of this talk is to introduce the theory of log Calabi-Yau fibrations\, to remind some known results\, and to state some open problems. \nVideo \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_birkar/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Birkar-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201116T080000
DTEND;TZID=America/New_York:20201116T093000
DTSTAMP:20250328T200750Z
CREATED:20230707T112758Z
LAST-MODIFIED:20250328T200750Z
UID:10000895-1605513600-1605519000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Classical and quantum integrable systems in enumerative geometry
DESCRIPTION:Andrei Okounkov (Columbia University) \nTitle: Classical and quantum integrable systems in enumerative geometry \nAbstract: For more than a quarter of a century\, thanks to the ideas and questions originating in modern high-energy physics\, there has been a very fruitful interplay between enumerative geometry and integrable system\, both classical and quantum. While it is impossible to summarize even the most important aspects of this interplay in one talk\, I will try to highlight a few logical points with the goal to explain the place and the role of certain more recent developments. \nTalk chair: Cumrun Vafa \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_okounkov/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Okounkov-1-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201113T080000
DTEND;TZID=America/New_York:20201113T093000
DTSTAMP:20250328T201252Z
CREATED:20230707T112548Z
LAST-MODIFIED:20250328T201252Z
UID:10000145-1605254400-1605259800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Knot Invariants From Gauge Theory in Three\, Four\, and Five Dimensions
DESCRIPTION:Edward Witten (IAS) \nTitle: Knot Invariants From Gauge Theory in Three\, Four\, and Five Dimensions \nAbstract: I will explain connections between a sequence of theories in two\, three\, four\, and five dimensions and describe how these theories are related to the Jones polynomial of a knot and its categorification. \nTalk chair: Cliff Taubes \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_witten/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Witten-pdf.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201005T080000
DTEND;TZID=America/New_York:20201005T093000
DTSTAMP:20250328T200738Z
CREATED:20230707T112316Z
LAST-MODIFIED:20250328T200738Z
UID:10000144-1601884800-1601890200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Kunihiko Kodaira and complex manifolds
DESCRIPTION:Yujiro Kawamata (University of Tokyo) \nTitle: Kunihiko Kodaira and complex manifolds \nAbstract: Kodaira’s motivation was to generalize the theory of Riemann surfaces in Weyl’s book to higher dimensions.  After quickly recalling the chronology of Kodaira\, I will review some of Kodaira’s works in three sections on topics of harmonic analysis\, deformation theory and compact complex surfaces.  Each topic corresponds to a volume of Kodaira’s collected works in three volumes\, of which I will cover only tiny parts. \nTalk chair: Baohua Fu \nVideo 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_kawamata/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Kawamata-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20201002T104500
DTEND;TZID=America/New_York:20201002T121500
DTSTAMP:20250328T200723Z
CREATED:20230707T112042Z
LAST-MODIFIED:20250328T200723Z
UID:10000143-1601635500-1601640900@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Birational geometry
DESCRIPTION:Vyacheslav V. Shokurov (Johns Hopkins University) \nTitle: Birational geometry \nAbstract: About main achievements in birational geometry during the last fifty years. \nTalk chair: Caucher Birkar \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_shokurov/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Shokurov-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200930T120000
DTEND;TZID=America/New_York:20200930T133000
DTSTAMP:20250328T200713Z
CREATED:20230707T111821Z
LAST-MODIFIED:20250328T200713Z
UID:10000142-1601467200-1601472600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Math-Science Literature Lecture: Immersions of manifolds and homotopy theory
DESCRIPTION:Ralph Cohen (Stanford University) \nTitle: Immersions of manifolds and homotopy theory \nAbstract: The interface between the study of the topology of differentiable manifolds and algebraic topology has been one of the richest areas of work in topology since the 1950’s. In this talk I will focus on one aspect of that interface: the problem of studying embeddings and immersions of manifolds using homotopy theoretic techniques. I will discuss the history of this problem\, going back to the pioneering work of Whitney\, Thom\, Pontrjagin\, Wu\, Smale\, Hirsch\, and others. I will discuss the historical applications of this homotopy theoretic perspective\, going back to Smale’s eversion of the 2-sphere in 3-space. I will then focus on the problems of finding the smallest dimension Euclidean space into which every n-manifold embeds or immerses. The embedding question is still very much unsolved\, and the immersion question was solved in the 1980’s. I will discuss the homotopy theoretic techniques involved in the solution of this problem\, and contributions in the 60’s\, 70’s and 80’s of Massey\, Brown\, Peterson\, and myself. I will also discuss questions regarding the best embedding and immersion dimensions of specific manifolds\, such has projective spaces. Finally\, I will end by discussing more modern approaches to studying spaces of embeddings due to Goodwillie\, Weiss\, and others. This talk will be geared toward a general mathematical audience. \nTalk chair: Michael Hopkins \nVideo
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsa-math-science-literature-lecture_cohen/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Lecture_Cohen-pdf.jpg
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