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DTSTART;TZID=America/New_York:20261106T090000
DTEND;TZID=America/New_York:20261107T170000
DTSTAMP:20261102T230149Z
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SUMMARY:Northeast Conference on Categorical Methods
DESCRIPTION:Northeast Conference on Categorical Methods \nDates: November 6–​7\, 2026  \nLocation: CMSA G10\, 20 Garden St.\, Cambridge MA 02138 \n\n\n\n\nThis conference is intended to bring together researchers in all areas of mathematics and mathematical physics whose work involves the use of methods from categorical algebra\, abstract homotopy theory\, and higher category theory. Our goal is to showcase new\, exciting research and offer an avenue for researchers from the Northeast US to discuss their work and collaborate with people in this ever-growing community. \n\nThere will be time for 4 short talks by early-career mathematicians. \n\n\n  \n\n\nRegistration for in-person participation and funding is now closed. \nRemote participation is still available. Sign up using this link: Zoom Webinar Registration \n\n\n\nCambridge Links \n\nRecommended Lodging\nRestaurants\nTransportation: MBTA\n\n\n\n\nInvited Speakers \n\nAndrew Blumberg\, Columbia University\nSoren Galatius\, Columbia University\nTony Pantev\, University of Pennsylvania\nNick Rozenblyum\, University of Toronto\nTomer Schlank\, Harvard University\nBrian Williams\, Boston University\nInna Zakharevich\, Cornell University\n\n\nEarly-career Speakers \n\nAlexandra Ballow\, Montana State University\nConnor Malin\, MPIM\nAzélie Picot\, Columbia University\nShubhankar Sahai\, UCSD\n\n\n\n  \n\n\n\n\nOrganized by Dan Freed\, Harvard Math & CMSA; Owen Gwilliam\, UMass Amherst; and Lorenzo Riva\, Harvard CMSA \n\n  \nSchedule\nFriday\, November 6\, 2027\n8:30 – 9:00 am\nBreakfast \n9:00 – 10:00 am\nTomer Schlank\, Harvard\ntba \n10:00 – 10:15 am\nBreak \n10:15 – 11:15 am\nTony Pantev\, University of Pennsylvania\nTitle: The pushforward theorem and its applications\nAbstract: I will discuss the notion of a relative shifted symplectic structure along the stalks of a constructible sheaf of derived stacks on a stratified space. I will describe a general pushforward theorem producing relative shifted symplectic forms and will explain explicit techniques for computing such forms. As an application I will describe a universal construction of Poisson structures on derived moduli of Stokes data on smooth varieties and will explain how symplectic leaves arise from fixing irregular types and local formal monodromies at infinity. This is a joint work with Dima Arinkin and Bertrand Toen. \n11:15 – 11:30 am\nBreak \n11:30 am – 12:00 pm\nAzelie Picot\, Columbia\nTitle: The cobordism category for Poincaré Duality spaces\nAbstract: Cobordism categories conveniently package closed manifolds of a given dimension as objects and moduli spaces of their cobordisms as morphisms. On the other hand\, Poincaré duality spaces are spaces whose homology satisfies Poincaré duality. We can again define a cobordism category for Poincaré duality spaces. In this talk\, I will discuss some of its key features. \n12:00 – 1:30 pm\nBreak \n1:30 – 2:00 pm\nConnor Malin\, MPIM Bonn\ntba \n2:00 – 2:15 pm\nBreak \n2:15 – 3:15 pm\nBrian Williams\, Boston University\nTitle: Higher central charges and a universal Grothendieck–Riemann–Roch theorem\nAbstract: Mumford’s computation of determinant line bundles in CFT relates the Virasoro central charge to the geometry of moduli spaces of curves. In joint work with Zhengping Gui\, we prove a local\, universal Grothendieck–Riemann–Roch theorem extending this relationship to higher dimensions. Our categorical starting point is the functorial construction of Tate complexes from derived sections of natural bundles on punctured formal disks. We compute the induced central extension of global derived vector fields in terms of the Todd class and Chern character\, connecting categorical determinant constructions with higher Virasoro symmetries and anomalies in holomorphic QFT. \n3:15 – 3:30 pm\nBreak \n3:30 – 4:30 pm\nInna Zakharevich\, Cornell\nTitle: “The category of schemes is abelian” and other obviously-false true statements\nAbstract: The category of schemes is clearly not abelian\, as\, for example\, there is no additive structure on the hom-sets of the category. However\, from the perspective of algebraic K-theory\, there turn out to be many respects in which the category of schemes behaves akin to an abelian category. In this talk we will discuss the notion of an “ACGW category\,” which is a generalizations of abelian categories which allows us to use the methods of abelian categories inside the category of schemes. In particular\, we will prove Quillen’s d\’evissage for ACGW-categories and explain implications of this to analyses inside combinatorial K-theory. \n  \nSaturday\, November 7\, 2026\n8:30–9:00 am\nBreakfast \n9:00 – 10:00 am\nAndrew Blumberg\, Columbia\ntba \n10:00 – 10:15 am\nBreak \n10:15 – 11:15 am\nSoren Galatius\, Columbia\ntba \n11:15 – 11:30 am\nBreak \n11:30 am– 12:00 pm\nAlexandra Ballow\, Montana State University\nTitle: Derived Turaev-Viro\nAbstract: We aim to integrate a 2-category over a (framed) surface: this is a purely combinatorial implementation of factorization homology. We will discuss intuitively what factorization homology is\, focusing first on a combinatorial definition of factorization homology over the circle. This example is interesting in its own right as a generalized Hochschild homology. To extend this definition to surfaces\, we define 2-dimensional quivers and consider representations of such in a 2-category. We finish with a discussion of string-nets to motivate the correspondence between factorization homology of a surface and a version of the TQFT Turaev-Viro on surfaces. \n12:00 – 1:30 pm\nBreak \n1:30 – 2:00 pm\nShubhankar Sahai\, UCSD\nTitle: Tannakian reconstruction in derived algebraic geometry\nAbstract: In the early 2010s\, Lurie\, Bhatt and Bhatt–Halpern-Leistner (building on a ‘relative’ perspective introduced by Lurie a decade earlier) proved strong reconstruction results for maps of spectral stacks from (certain) symmetric monoidal functors between their derived categories of quasi-coherent sheaves. Motivated by recent work in p-adic Hodge theory and Hochschild homology\, one asks whether such reconstruction results exist in derived geometry\, where the basic geometric objects are spectra of animated (i.e. simplicial commutative) rings rather than E_\infty-rings. In this talk we will explain how to answer this question positively using the recently invented Theta-categories of Nuiten–Toën. This is joint work with Joshua Mundinger. \n2:00 – 2:15 pm\nBreak \n2:15 – 3:15 pm\nNick Rozenbluym\, University of Toronto\nTitle: Categorical representations and higher traces\nAbstract: I will give an overview of the theory of categorical representations of algebraic groups and relate them to ordinary representations via higher categorical trace. This procedure allows to extract concrete consequences of higher structures. For instance\, I will explain how the theory of iterated traces applied to an appropriate (∞\,3)-category gives a conceptual proof of a character formula for Deligne-Lusztig representations of finite groups of Lie type. This is joint work with D. Gaitsgory and Y. Varshavsky.
URL:https://live-hu-cmsa-222.pantheonsite.io/event/cm/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Workshop
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DTSTART;TZID=America/New_York:20261121T090000
DTEND;TZID=America/New_York:20261121T170000
DTSTAMP:20261027T134036Z
CREATED:20261015T145844Z
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SUMMARY:Doing Mathematics with AI Agents
DESCRIPTION:Doing Mathematics with AI Agents \nDate: Saturday\, November 21\, 2026 \nTime: 9:00–5:00 pm ET \nLocation:  Zimmer Hall (Science Center)\, 1 Oxford Street\, Cambridge MA \n  \nThis is a one day workshop for Boston-area mathematics postdocs to work with AI agents in a collaborative environment (designed by Andrew Sutherland) supported by computational infrastructure and formalization tools. \nThis event is appropriate for: \n\nMathematics postdocs who haven’t used AI seriously in their work and want to try\nMathematics postdocs who have only worked with AI in chat in a web browser\nMathematics postdocs who already use Codex or Claude Code\n\nParticipants will work in a system where they can work with multiple agents\, and do mathematics assisted by AI agents during the day of the workshop.  Participants will work with AI agents who are fully set up to do mathematics\, and will talk to other colleagues who are doing the same thing in real time.  The landscape of using AI agents in mathematics is changing incredibly quickly.  At this workshop\, participants can experiment and learn from others about the possibilities and challenges in what is currently available. \nOnly mathematics postdocs are eligible for this event.\nNo funding is available.  We expect participants to be local.\n\nApply here if you are interested to participate.  Space is limited.  Applications will be considered on a rolling basis starting October 30.\n\nOrganizers: Melanie Matchett Wood (Harvard)\, Andrew Sutherland (MIT)\, Saman Habibi Esfahani (Harvard CMSA)\, and Michał Szachniewicz (Harvard). \n  \n\nThis event is cosponsored by the Harvard Mathematics Department and the CMSA. No financial support is available at this time. \n 
URL:https://live-hu-cmsa-222.pantheonsite.io/event/mathai_112126/
LOCATION:Zimmer Hall (Science Center)\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Workshop
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