• Solitonic Symmetry: Cohomology with TFT Coefficients

    Science Center 507 1 Oxford Street, Cambridge

    Geometry and Quantum Theory Seminar Speaker: Sanjay Raman, Harvard Title: Solitonic Symmetry: Cohomology with TFT Coefficients Abstract: We review the formalism of https://arxiv.org/pdf/2307.00939, which develops the theory of solitonic symmetry in quantum field theory. The algebraic structure of solitonic symmetry is determined by the fusion of topological functionals in a given path-integral formulation of topological field theory, and […]

  • Fukaya categories and higher representation theory

    Harvard Science Center 1 Oxford Street, Cambridge, MA

    Differential Geometry and Physics Seminar Speaker: Vivek Shende (Syddansk Universitet & UC Berkeley) Title: Fukaya categories and higher representation theory Abstract: I will explain how Lagrangian Floer homology in certain monopole moduli spaces recovers the Khovanov homology and its relatives, by a description strikingly similar to the Oszvath-Szabo Heegard-Floer theory.  I will also explain how the […]

  • Freedman Seminar: Mattie Ji, Penn and Jeongwan Haah, Stanford

    Hybrid

    Freedman Seminar Speakers: Mattie Ji (Penn) and Jeongwan Haah (Stanford) Mattie Ji Title: Quantum Cellular Automata via Algebraic K-Theory Abstract: Algebraic K-theory, on a very high level, is the study of how to break apart and assemble objects linearly, which makes the field amenable to classification questions. In this work, we apply this methodology to study […]

  • Quantum Field Theory and Physical Mathematics

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

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Davide Gaiotto (Perimeter Institute)

  • TQFTs do not detect the Milnor sphere

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Lorenzo Riva, Harvard CMSA Title: TQFTs do not detect the Milnor sphere Abstract: I will talk about the recent paper of Gripaios and Randall-Williams with that title, where they prove that a functorial TQFT (i.e. a symmetric monoidal functor from the n-dimensional bordism category into a suitably […]

  • Strongly adapted contact geometry of Anosov 3-flows

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

    Differential Geometry and Physics Seminar Speaker: Surena Hozoori (Brandeis) Title: Strongly adapted contact geometry of Anosov 3-flows Abstract: We will discuss some recent developments in the contact geometric theory of Anosov 3-flows, whose roots go back to the works of Mitsumatsu and Eliashberg-Thurston in the mid 1990s. In particular, we provide a contact geometric characterization […]

  • Finite N indices from branes and negative branes

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

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Kasia Budzik (Harvard University) Title: Finite N indices from branes and negative branes Abstract: Finite-N effects in large-N gauge theories, such as trace relations, are expected to be holographically dual to non-perturbative phenomena in string theory, such as Giant Graviton branes. A convenient setting to study these […]

  • Dynamic reasoning

    Virtual

    New Technologies in Mathematics Seminar Speaker: Emmanuel Abbé, EPFL, Institute of Mathematics and School of Computer and Communication Sciences & Apple Title: Dynamic reasoning Abstract: In the current AI landscape, reasoning is frequently equated with the generation of intermediate "thinking traces". However, these traces are merely a mechanism, not the ultimate objective. Relying solely on the presence of […]

  • Moduli of subcanonical points

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

    Algebra Seminar Speaker: Dawei Chen, Boston College Title: Moduli of subcanonical points Abstract: Subcanonical points are special Weierstrass points on smooth algebraic curves whose semigroups are symmetric. In this talk, I will explain the rich geometry of the moduli space of subcanonical points, with a focus on its connected components, birational geometry, topology, and the deformation theory […]