BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CMSA - ECPv6.17.1//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-ORIGINAL-URL:https://live-hu-cmsa-222.pantheonsite.io
X-WR-CALDESC:Events for CMSA
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:America/New_York
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20220313T070000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20221106T060000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20230312T070000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20231105T060000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20240310T070000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20241103T060000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20250309T070000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20251102T060000
END:STANDARD
END:VTIMEZONE
BEGIN:VTIMEZONE
TZID:America/New_York
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20220313T070000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20221106T060000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20230312T070000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20231105T060000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20240310T070000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20241103T060000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20250309T070000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20251102T060000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240320T090000
DTEND;TZID=America/New_York:20240320T103000
DTSTAMP:20241212T160245Z
CREATED:20240105T062652Z
LAST-MODIFIED:20241212T160245Z
UID:10001116-1710925200-1710930600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Cameron Gordon
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \nProf. Cameron Gordon presented a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. \n \nDate: Wednesday\, March 20\, 2024 \nTime: 9:00–10:30 am ET \nLocation: Room G10\, CMSA\, 20 Garden Street\, Cambridge MA and via Zoom Webinar \nTitle: The Unknotting Number of a Knot \nAbstract: One of the oldest and most natural knot invariants is the unknotting number\, which is the minimum number of times a knot must be allowed to pass through itself in order to unknot it. Although this invariant was discussed by Tait almost 150 years ago\, it is still poorly understood. For instance it is not known if it is algorithmically computable\, and indeed there is an 8-crossing knot whose unknotting number is unknown. Nevertheless\, the many developments in knot theory since Tait have led to some understanding of unknotting number\, for example through its connection with 4-dimensional topology. We will give a historical account of this progress\, and discuss some of the questions that are still open. \n  \n\nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars. \n  \nCMSA COVID-19 Policies
URL:https://live-hu-cmsa-222.pantheonsite.io/event/mathscilit2024_cg/
LOCATION:Hybrid
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://live-hu-cmsa-222.pantheonsite.io/media/Mathlit_Gordon_letter.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240319T123000
DTEND;TZID=America/New_York:20240319T133000
DTSTAMP:20240425T205446Z
CREATED:20240206T175020Z
LAST-MODIFIED:20240425T205446Z
UID:10000845-1710851400-1710855000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q&A Seminar 3/19/2024
DESCRIPTION:CMSA Q and A Seminar\n\nSpeaker: Arthur Jaffe\, Harvard University\n\nQuestion: What is mathematical picture language?
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa-31924/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240305T123000
DTEND;TZID=America/New_York:20240305T133000
DTSTAMP:20240813T155641Z
CREATED:20240304T180301Z
LAST-MODIFIED:20240813T155641Z
UID:10000847-1709641800-1709645400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q&A Seminar 3/5/2024
DESCRIPTION:CMSA Q&A Seminar\n\nSpeaker: Yannai Gonczarowski\, Harvard University\n\nQuestion: What do people mean when they say ‘the intersection between theoretical computer science and economic theory’?
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa-3524/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240305T123000
DTEND;TZID=America/New_York:20240305T133000
DTSTAMP:20240425T205458Z
CREATED:20240129T171138Z
LAST-MODIFIED:20240425T205458Z
UID:10000843-1709641800-1709645400@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q&A Seminar 3/5/2024
DESCRIPTION:CMSA Q and A Seminar\n\nSpeaker: Cumrun Vafa\n\nQuestion: What is swampland?
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa_35254/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240227T123000
DTEND;TZID=America/New_York:20240227T133000
DTSTAMP:20240425T205519Z
CREATED:20240226T200617Z
LAST-MODIFIED:20240425T205519Z
UID:10000842-1709037000-1709040600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q&A Seminar 2/27/2024
DESCRIPTION:CMSA Q&A Seminar\n\nSpeaker: Dan Freed\n\nQuestion: What are Higgs bundles?
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa-22724/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240220T160000
DTEND;TZID=America/New_York:20240220T173000
DTSTAMP:20250328T150527Z
CREATED:20240301T093539Z
LAST-MODIFIED:20250328T150527Z
UID:10002892-1708444800-1708450200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Math Science Lectures in Honor of Raoul Bott: Maggie Miller: Fibered ribbon knots vs. major 4D conjectures
DESCRIPTION:Fibered ribbon knots vs. major 4D conjectures \nLocation: Harvard University Science Center Hall A & via Zoom webinar \nDates: Feb 20 & 22\, 2024 \nTime: 4:00-5:30 pm \nMaggie Miller is an assistant professor in the mathematics department at the University of Texas at Austin and a Clay Research Fellow. \nThis is the fourth annual Math Science Lecture Series held in Honor of Raoul Bott. \nTalk topic:  Fibered ribbon knots vs. major 4D conjectures\n  \n \nFeb. 20\, 2024 \nTitle: Fibered ribbon knots and the Poincaré conjecture \nAbstract: A knot is “fibered” if its complement in S^3 is the total space of a bundle over the circle\, and ribbon if it bounds a smooth disk into B^4 with no local maxima with respect to radial height. A theorem of Casson-Gordon from 1983 implies that if a fibered ribbon knot does not bound any fibered disk in B^4\, then the smooth 4D Poincaré conjecture is false. I’ll show that unfortunately (?) many ribbon disks bounded by fibered knots are fibered\, giving some criteria for extending fibrations and discuss how one might search for non-fibered examples. \n  \n \nFeb. 22\, 2024 \nTitle: Fibered knots and the slice-ribbon conjecture \nAbstract: The slice-ribbon conjecture (Fox\, 1962) posits that if a knot bounds any smooth disk into B^4\, it also bounds a ribbon disk. The previously discussed work of Casson-Gordon yields an obstruction to many fibered knots being ribbon\, yielding many interesting potential counterexamples to this conjecture — if any happy to bound a non-ribbon disk. In 2022\, Dai-Kong-Mallick-Park-Stoffregen showed that unfortunately( ?) many of these knots don’t bound a smooth disk into B^4 and thus can’t disprove the conjecture. I’ll show a simple alternate proof that a certain interesting knot (the (2\,1)-cable of the figure eight) isn’t slice and discuss remaining open questions. This talk is joint with Paolo Aceto\, Nickolas Castro\, JungHwan Park\, and Andras Stipsicz. \n  \nTalk Chair: Cliff Taubes (Harvard Mathematics) \nModerator: Freid Tong (Harvard CMSA) \n\nRaoul Bott (9/24/1923 – 12/20/2005) is known for the Bott periodicity theorem\, the Morse–Bott functions\, and the Borel–Bott–Weil theorem.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/mathscibott_2024/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Math Science Lectures in Honor of Raoul Bott,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Bott-Lecture_Maggie-Miller_letter_web.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240220T123000
DTEND;TZID=America/New_York:20240220T133000
DTSTAMP:20240425T205533Z
CREATED:20240206T174758Z
LAST-MODIFIED:20240425T205533Z
UID:10000840-1708432200-1708435800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q&A Seminar 2/20/2024
DESCRIPTION:CMSA Q and A Seminar\n\nSpeaker: Solomon Friedberg\, Boston College\n\nQuestion: What is the Langlands program?
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa-22024/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240207T090000
DTEND;TZID=America/New_York:20240207T103000
DTSTAMP:20241212T160057Z
CREATED:20240103T172620Z
LAST-MODIFIED:20241212T160057Z
UID:10001103-1707296400-1707301800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Amie Wilkinson
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \nProf. Amie Wilkinson gave a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. \nDate: Wednesday\, February 7\, 2024 \nTime: 9:00–10:30 am ET \nTitle: Stretching and shrinking: 85 years of the Hopf argument for ergodicity\nAbstract:  The early 20th century witnessed an explosion of activity\, much of it centered at Harvard\, on rigorizing the property of ergodicity first proposed by Boltzmann in his 1898  Ergodic Hypothesis for ideal gases. Earlier\, in the 1880’s\, Henri Poincaré and Felix Klein had also initiated a study of discrete groups of hyperbolic isometries. The geodesics in hyperbolic manifolds were discovered to carry a rich structure\, first investigated from a topological perspective by Emil Artin and Marston Morse.  The time was ripe to investigate geodesics in hyperbolic manifolds from an ergodic theoretic (i.e.\, statistical) perspective\, and indeed Gustav Hedlund proved in 1934 that the geodesic flow for closed hyperbolic surfaces is ergodic.\n\nIn 1939\, Eberhard Hopf published a proof of the ergodicity of geodesic flows for negatively curved surfaces containing a novel method\, now known as the Hopf argument.  The Hopf argument\, a “soft” argument for ergodicity of systems with some hyperbolicity (the “stretching and shrinking” in the title) has since seen wide application in geometry\, representation theory and dynamics.  I will discuss three results relying on the Hopf argument:\n\nTheorem (E. Hopf\, 1939\, D. Anosov\, 1967): In a closed manifold of negative sectional curvatures\, almost every geodesic is directionally equidistributed.\n\nTheorem (G. Mostow\, 1968) Let M and N be closed hyperbolic manifolds of dimension at least 3\, and let f:M->N be a homotopy equivalence.  Then f is homotopic to a unique isometry.\n\nTheorem (R. Mañé\, 1983\, A. Avila- S. Crovisier- A.W.\, 2022) The C^1 generic symplectomorphism of a closed symplectic manifold with positive entropy is ergodic.\n  \n\nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars. \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/mathscilit2024_aw/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Mathlit_Wilkinson_letter.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240206T123000
DTEND;TZID=America/New_York:20240206T133000
DTSTAMP:20240425T205546Z
CREATED:20240205T214553Z
LAST-MODIFIED:20240425T205546Z
UID:10000839-1707222600-1707226200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q&A Seminar 2/6/2024
DESCRIPTION:CMSA Q and A Seminar \nSpeaker: Greg Moore\, Rutgers University \nQuestion: What is supersymmetry?
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa-2624/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231205T123000
DTEND;TZID=America/New_York:20231205T133000
DTSTAMP:20240223T084615Z
CREATED:20240223T084615Z
LAST-MODIFIED:20240223T084615Z
UID:10002841-1701779400-1701783000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q and A Seminar 12/5/2023
DESCRIPTION:CMSA Q and A Seminar \nSpeakers: Mike Douglas (Harvard CMSA) and Anurag Anshu (Harvard Computer Science) \nTopics:  \nMike Douglas: What are scaling laws in deep learning? \nAnurag Anshu: What’s the difference between classical information theory and quantum information theory (or classical computation vs quantum computation)? \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa_12523/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231120T090000
DTEND;TZID=America/New_York:20231120T103000
DTSTAMP:20240222T055339Z
CREATED:20240108T175825Z
LAST-MODIFIED:20240222T055339Z
UID:10001130-1700470800-1700476200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Scott Kominers
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \n \nProf. Scott Kominers will present a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. \nDate: Monday\, November 20\, 2023 \nTime: 9:00 – 10:30 am ET \nLocation: Via Zoom Webinar \nTitle: 60 Years of Matching: From Gale and Shapley to Trading Networks \nAbstract: Gale and Shapley’s 1962 American Mathematical Monthly paper\, “College Admissions and the Stability of Marriage\,” is by now one of the most cited articles in the journal’s history\, having served as the foundation for an entire branch of the field of market design. This success owes in large part to the beautiful\, applicable\, and surprisingly general theory of matching mechanisms uncovered in Gale and Shapley’s work. This talk traces the history and evolution of matching theory from that paper forward to the present day\, along the way touching on real-world applications to everything from medical residency matching to electricity markets. \nModerator: Sergiy Verstyuk \n\nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars. \n  \nCMSA COVID-19 Policies
URL:https://live-hu-cmsa-222.pantheonsite.io/event/mathscilit2023/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/Mathlit_Kominers_8.5x11.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231107T123000
DTEND;TZID=America/New_York:20231107T133000
DTSTAMP:20240223T083628Z
CREATED:20240223T083628Z
LAST-MODIFIED:20240223T083628Z
UID:10002839-1699360200-1699363800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q and A Seminar 11/7/2023
DESCRIPTION:CMSA Q and A Seminar \nSpeakers: Michael Hopkins (Harvard Math) and Minhea Popa (Harvard Math) \nTopics: \nMike Hopkins: What are topological modular forms? \nMihnea Popa: What is the abundance conjecture and why should it to be true? \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa_11723/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;VALUE=DATE:20231027
DTEND;VALUE=DATE:20231029
DTSTAMP:20240624T182341Z
CREATED:20230904T060021Z
LAST-MODIFIED:20240624T182341Z
UID:10000002-1698364800-1698537599@live-hu-cmsa-222.pantheonsite.io
SUMMARY:Mathematics in Science: Perspectives and Prospects
DESCRIPTION:Mathematics in Science: Perspectives and Prospects\nA showcase of mathematics in interaction with physics\, computer science\, biology\, and beyond. \nOctober 27–28\, 2023 \nLocation: Harvard University Science Center Hall D & via Zoom. \nDirections and Recommended Lodging \nMathematics in Science: Perspectives and Prospects Youtube Playlist \n  \n\nSpeakers \n\nNima Arkani-Hamed (IAS)\nConstantinos Daskalakis (MIT)\nAlison Etheridge (Oxford)\nMike Freedman (Harvard CMSA)\nGreg Moore (Rutgers)\nBernd Sturmfels (MPI Leipzig)\n\n\nOrganizers \n\nMichael R. Douglas (Harvard CMSA)\nDan Freed (Harvard Math & CMSA)\nMike Hopkins (Harvard Math)\nCumrun Vafa (Harvard Physics)\nHorng-Tzer Yau (Harvard Math)\n\nSchedule\nFriday\, October 27\, 2023 \n\n\n\n2:00–3:15 pm\n\nGreg Moore (Rutgers) \nTitle: Remarks on Physical Mathematics \nAbstract: I will describe some examples of the vigorous modern dialogue between mathematics and theoretical physics (especially high energy and condensed matter physics). I will begin by recalling Stokes’ phenomenon and explain how it is related to some notable developments in quantum field theory from the past 30 years. Time permitting\, I might also say something about the dialogue between mathematicians working on the differential topology of four-manifolds and physicists working on supersymmetric quantum field theories. But I haven’t finished writing the talk yet\, so I don’t know how it will end any more than you do. \nSlides (PDF) \n \n\n\n\n3:15–3:45 pm\nBreak\n\n\n3:45–5:00 pm\n\nBernd Sturmfels (MPI Leipzig) \nTitle: Algebraic Varieties in Quantum Chemistry \nAbstract: We discuss the algebraic geometry behind coupled cluster (CC) theory of quantum many-body systems. The high-dimensional eigenvalue problems that encode the electronic Schroedinger equation are approximated by a hierarchy of polynomial systems at various levels of truncation. The exponential parametrization of the eigenstates gives rise to truncation varieties. These generalize Grassmannians in their Pluecker embedding. We explain how to derive Hamiltonians\, we offer a detailed study of truncation varieties and their CC degrees\, and we present the state of the art in solving the CC equations. This is joint work with Fabian Faulstich and Svala Sverrisdóttir. \nSlides (PDF) \n \n\n\n\n\n  \nSaturday\, October 28\, 2023 \n\n\n\n9:00 am\nBreakfast\n\n\n9:30–10:45 am\n\nMike Freedman (Harvard CMSA) \nTitle: ML\, QML\, and Dynamics: What mathematics can help us understand and advance machine learning? \nAbstract: Vannila deep neural nets DNN repeatedly stretch and fold. They are reminiscent of the logistic map and the Smale horseshoe.  What kind of dynamics is responsible for their expressivity and trainability. Is chaos playing a role? Is the Kolmogorov Arnold representation theorem relevant? Large language models are full of linear maps. Might we look for emergent tensor structures in these highly trained maps in analogy with emergent tensor structures at local minima of certain loss functions in high-energy physics. \nSlides (PDF) \n \n\n\n\n10:45–11:15 am\nBreak\n\n\n11:15 am–12:30 pmvia Zoom\n\nNima Arkani-Hamed (IAS) \nTitle: All-Loop Scattering as A Counting Problem \nAbstract: I will describe a new understanding of scattering amplitudes based on fundamentally combinatorial ideas in the kinematic space of the scattering data. I first discuss a toy model\, the simplest theory of colored scalar particles with cubic interactions\, at all loop orders and to all orders in the topological ‘t Hooft expansion. I will present a novel formula for loop-integrated amplitudes\, with no trace of the conventional sum over Feynman diagrams\, but instead determined by a beautifully simple counting problem attached to any order of the topological expansion. A surprisingly simple shift of kinematic variables converts this apparent toy model into the realistic physics of pions and Yang-Mills theory. These results represent a significant step forward in the decade-long quest to formulate the fundamental physics of the real world in a new language\, where the rules of spacetime and quantum mechanics\, as reflected in the principles of locality and unitarity\, are seen to emerge from deeper mathematical structures. \n \n\n\n\n12:30–2:00 pm\nLunch break\n\n\n2:00–3:15 pm\n\nConstantinos Daskalakis (MIT) \nTitle: How to train deep neural nets to think strategically \nAbstract: Many outstanding challenges in Deep Learning lie at its interface with Game Theory: from playing difficult games like Go to robustifying classifiers against adversarial attacks\, training deep generative models\, and training DNN-based models to interact with each other and with humans. In these applications\, the utilities that the agents aim to optimize are non-concave in the parameters of the underlying DNNs; as a result\, Nash equilibria fail to exist\, and standard equilibrium analysis is inapplicable. So how can one train DNNs to be strategic? What is even the goal of the training? We shed light on these challenges through a combination of learning-theoretic\, complexity-theoretic\, game-theoretic and topological techniques\, presenting obstacles and opportunities for Deep Learning and Game Theory going forward. \nSlides (PDF) \n \n\n\n\n3:15–3:45 pm\nBreak\n\n\n3:45–5:00 pm\n\nAlison Etheridge (Oxford) \nTitle: Modelling hybrid zones \nAbstract: Mathematical models play a fundamental role in theoretical population genetics and\, in turn\, population genetics provides a wealth of mathematical challenges. In this lecture we investigate the interplay between a particular (ubiquitous) form of natural selection\, spatial structure\, and\, if time permits\, so-called genetic drift. A simple mathematical caricature will uncover the importance of the shape of the domain inhabited by a species for the effectiveness of natural selection. \nSlides (PDF) \n \n\n\n\n\nLimited funding to help defray travel expenses is available for graduate students and recent PhDs. If you are a graduate student or postdoc and would like to apply for support\, please register above and send an email to mathsci2023@cmsa.fas.harvard.edu no later than October 9\, 2023. \nPlease include your name\, address\, current status\, university affiliation\, citizenship\, and area of study. F1 visa holders are eligible to apply for support. If you are a graduate student\, please send a brief letter of recommendation from a faculty member to explain the relevance of the conference to your studies or research. If you are a postdoc\, please include a copy of your CV. \n\n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/mathematics-in-science/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Conference,Event
ATTACH;FMTTYPE=image/png:https://live-hu-cmsa-222.pantheonsite.io/media/MathScience2023Poster_8.5x11.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231024T123000
DTEND;TZID=America/New_York:20231024T133000
DTSTAMP:20240223T083135Z
CREATED:20240223T083135Z
LAST-MODIFIED:20240223T083135Z
UID:10002837-1698150600-1698154200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q and A Seminar 10/24/23
DESCRIPTION:CMSA Q and A Seminar \nSpeakers: Xi Yin (Harvard Physics) and Peter Kronheimer (Harvard Math)\n\nTopics:\nXi Yin: What is string field theory?\nPeter Kronheimer: What is Seiberg-Witten theory?
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa_102423/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231010T123000
DTEND;TZID=America/New_York:20231010T133000
DTSTAMP:20240223T103936Z
CREATED:20240223T091026Z
LAST-MODIFIED:20240223T103936Z
UID:10002842-1696941000-1696944600@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q and A Seminar 10/10/23
DESCRIPTION:CMSA Q and A Seminar \nSpeakers: Dan Freed (Harvard Math and CMSA) and Sunghyuk Park (CMSA) \nTopics: \nDan Freed: What is Dijkgraaf-Witten theory? \nSunghyuk Park: What happened at the Clay Math Institute Workshop?
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa_101023/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231003T123000
DTEND;TZID=America/New_York:20231003T133000
DTSTAMP:20240223T082622Z
CREATED:20240223T082622Z
LAST-MODIFIED:20240223T082622Z
UID:10002836-1696336200-1696339800@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q and A Seminar 10/3/2023
DESCRIPTION:CMSA Q and A Seminar \nSpeakers: Dan Freed (Harvard Math & CMSA) and Dan Berwick-Evans (University of Illinois at Urbana-Champaign)\n\nTopics:\nDan Freed: What is framing anomaly? How is it different from other anomalies?\nDan Berwick-Evans: What is Atiyah-Singer index theorem?
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa_10323/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230926T123000
DTEND;TZID=America/New_York:20230926T133000
DTSTAMP:20240223T081646Z
CREATED:20240223T081626Z
LAST-MODIFIED:20240223T081646Z
UID:10002835-1695731400-1695735000@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q and A Seminar 9/26/2023
DESCRIPTION:CMSA Q and A Seminar \nSpeakers: Michael Douglas (CMSA) and Mayuko Yamashita (Kyoto University) \nTopics: \nMichael Douglas: “What is non-commutative field theory?”\n\nMayuko Yamashita: “What is differential cohomology?”
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa_92623/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230919T123000
DTEND;TZID=America/New_York:20230919T133000
DTSTAMP:20240223T080443Z
CREATED:20240223T080443Z
LAST-MODIFIED:20240223T080443Z
UID:10002832-1695126600-1695130200@live-hu-cmsa-222.pantheonsite.io
SUMMARY:CMSA Q and A Seminar 9/19/2023
DESCRIPTION:Speakers: Dan Freed (Harvard Math and CMSA)\, Denis Auroux (Harvard Math)
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cmsaqa_91923/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
END:VEVENT
END:VCALENDAR