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  • Reflexive Polytopes and the Convergence of Feynman Integrals

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Pierre Vanhove (Institute of Theoretical Physics - Saclay) Title: Reflexive Polytopes and the Convergence of Feynman Integrals Abstract: In the parametric representation, Feynman integrals can be viewed as Euler integrals defined by the Symanzik polynomials of a graph. The convergence properties of these integrals are intimately tied […]

  • Bijections for hyperplane arrangements of Coxeter type

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Colloquium Speaker:Ā Olivier Bernardi, Brandeis University Title:Ā Bijections for hyperplane arrangements of Coxeter type Abstract:Ā This talk is about real hyperplane arrangements whose hyperplanes are of the form {xi āˆ’xj = s} or {xi +xj = s}. We describe a bijective framework for a large family of such arrangements which we call transitive. For each transitive arrangement A, […]

  • More on Kubota’s spectrum of invertible states

    Science Center 507 1 Oxford Street, Cambridge

    Geometry and Quantum Theory Seminar Speakers: Dan Freed and Bowen Yang, Harvard CMSA Title:Ā More on Kubota's spectrum of invertible states Abstract:Ā Bowen will explain a construction aptly dubbed ā€œKitaevā€™s pumpā€ in Kubotaā€™s paper. Time permitting, Bowen will demonstrate its ubiquity throughout the study of topological phases, where it appears under various guises. In the second hour, […]

  • CMSA Q&A Seminar

    CMSA Q&A Seminar: Ludmil Katzarkov, University of Miami

    Common Room, CMSA 20 Garden Street, Cambridge, MA, United States

    CMSA Q&A Seminar Speaker: Ludmil Katzarkov, University of Miami Title: New Birational Invariants Abstract: We will introduce the origins of the main ideas of the theory of atoms. Applications follow. Equivariant and mixed atoms will be considered.

  • Automated Theory Formation and Interestingness in Mathematics

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    New Technologies in Mathematics Seminar Speaker: George Tsoukalas, UT Austin Dept. of Computer Science and Google DeepMind. Title:Ā Automated Theory Formation and Interestingness in Mathematics Abstract:Ā Advances in modern learning systems are beginning to demonstrate utility for select problems in research mathematics. A broader challenge is that of developing new theories automatically. This area has a rich […]

  • Featured

    Millennium Prize Problems Lecture – Barry Mazur: About the Birch and Swinnertonā€“Dyer Conjecture

    Harvard Science Center Hall D 1 Oxford Street, Cambridge, MA, United States

    https://youtu.be/14-9iCoclFE Date: February 4, 2026 Time: 5:00ā€“6:00 pm Location: Harvard Science Center Hall C, 1 Oxford St., Cambridge MA Speaker: Barry Mazur, Harvard University Title: About the Birch and Swinnertonā€“Dyer Conjecture Abstract: In the 1950s Bryan Birch and Peter Swinnertonā€“Dyer made computations that suggested a striking connection between a basic global invariant of an elliptic […]

  • Index from a point

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Differential Geometry and Physics Seminar Speaker: Monica Jinwoo Kang, Texas A&M University Title:Ā Index from a point Abstract:Ā We argue that protected data of 4d N=2 SCFTs admits a purely algebro-geometric characterization. We conjecture that both the Macdonald index (and hence the Schur index) and the Higgs branch are encoded by a bifiltered affine scheme determined by […]

  • On E7+1/2 gauge theory

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Differential Geometry and Physics Seminar Speaker: Yinan Wang, Peking University Title:Ā On E7+1/2 gauge theory Abstract:Ā We propose that an exotic gauge theory based on the intermediate Lie algebra E7+1/2 naturally appears in the landscape of 6d F-theory. We give strong evidenceĀ of this proposal with 6d anomaly cancellation, dual M-theory geometry and elliptic genus of the single-string […]

  • Algebra Seminar

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Algebra Seminar  

  • Lie algebra cohomology and Seiberg-Witten theory

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Member Seminar Speaker: Ahsan Khan, Harvard CMSA Title: Lie algebra cohomology and Seiberg-Witten theory Abstract: I will discuss how a certain (relative) Lie algebra cochain complex categorifies the Schur index of N=2 supersymmetric gauge theory. For the special case of Seiberg-Witten theory I will provide a conjectured description of this cohomology.

  • On the p-curvature of quantum connections of CY threefolds

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Shaoyun Bai (MIT) Title: On the p-curvature of quantum connections of CY threefolds Abstract: The small quantum connection of Calabi-Yau varieties has integral coefficients, thus admits reduction mod a prime number p. A fundamental invariant associated with flat connections over characteristic p is the p-curvature, which lies […]

  • Phase Transition to Chaos in Complex Ecosystems with Non-reciprocal Interactions

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Colloquium Speaker: Pankaj Metha, Boston University Title: Phase Transition to Chaos in Complex Ecosystems with Non-reciprocal Interactions Abstract: Nonreciprocal interactions between microscopic constituents can profoundly shape the large-scale properties of complex systems. In this pedagogical chalk talk, I will discuss recent work from our group on phase transitions and chaos in high-dimensional ecosystems with non-reciprocal […]