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During the 2025–26 academic year, the Harvard Mathematics Department and CMSA will jointly host a seminar on Geometry and Quantum Theory, organized by Dan Freed and Vasily Krylov. The seminar will meet on Tuesdays from 4:15–6:30 pm (Eastern Time).

The seminar will take place in Science Center 507, 1 Oxford Street, Cambridge MA.

  • The Quasi-Adiabatic Theorem and All That

    Science Center 507 1 Oxford Street, Cambridge

    Geometry and Quantum Theory Seminar Speaker: Daniel Spiegel, Harvard Title: The Quasi-Adiabatic Theorem and All That Abstract: Yosuke Kubota has recently made progress on understanding Kitaev's conjecture by constructing 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: More on Kubota's spectrum of invertible states Abstract: Bowen will explain a construction aptly dubbed “Kitaev’s pump” in […]

  • Geometric structures on gauge theoretic moduli spaces

    Science Center 507 1 Oxford Street, Cambridge

    Geometry and Quantum Theory Seminar Speaker: Saman Habibi Esfahani (CMSA) Title: Geometric structures on gauge theoretic moduli spaces Abstract: Motivated by Witten’s study of instantons on S3 x S1, we survey […]

  • Constructing oriented TQFTs from twisted pivotal tensor categories

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

    Geometry and Quantum Theory Seminar Speaker: William Stewart Title: Constructing oriented TQFTs from twisted pivotal tensor categories Abstract: The cobordism hypothesis classifies n-dimensional oriented TQFTs in terms of SO(n) homotopy […]

  • Bi-HKT Manifolds, Sigma Models, Large N=4 and their String Constructions

    Science Center 507 1 Oxford Street, Cambridge

    Geometry and Quantum Theory Seminar Speakers: Max Hübner, CMSA Title: Bi-HKT Manifolds, Sigma Models, Large N=4 and their String Constructions Abstract: We continue our review of Witten's paper "Instantons and […]

  • 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 […]

  • 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 […]

  • Line operators in holomorphic QFT

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Keyou Zeng (CMSA) Title: Line operators in holomorphic QFT Abstract: We will discuss the recent work (arxiv:2508.11749), which defines the so called […]

  • 1-shifted Yangians from 1-shifted Lie bialgebras

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Vasily Krylov, Harvard Title: 1-shifted Yangians from 1-shifted Lie bialgebras Abstract: In the previous talk, Keyou explained that the fusion of line defects in […]

  • A Mumford form on infinite Grassmannians

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Oswaldo Vázquez (Harvard) Title: A Mumford form on infinite Grassmannians Abstract: The Polyakov measure in bosonic string theory can be expressed in terms […]

  • Abelian gauge fields and duality

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Dan Freed, Harvard Math & CMSA Title: Abelian gauge fields and duality Abstract: Motivated by the new paper arXiv:2603.19161, I will give […]