• 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 of the Mumford form, which is a trivializing section of a product of determinant line bundles over the moduli space of genus g curves. We […]

  • 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 a general talk about abelian gauge fields, including duality. I will start with classical Maxwell theory, then discuss various “finite” examples, the typical p-form abelian […]

  • Introduction to A-infty categories

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Ahsan Khan, Harvard CMSA Title: Introduction to A-infty categories Abstract: I will give a pedagogical account of A-infty categories and the various places they show up in mathematical physics.  

  • The classifying space of a Morse flow category

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Lorenzo Riva, Harvard CMSA Title: The classifying space of a Morse flow category Abstract: Following a paper of Calle and Liu we show that, under suitable tameness assumptions, the classifying space of the Morse category associated to a manifold M with a Morse function recovers the homotopy […]

  • Geometry and Quantum Theory Seminar

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Vasily Krylov, Harvard

  • Quasi-local algebras and invertible phases of matter

    Science Center 507 1 Oxford Street, Cambridge

    Geometry and Quantum Theory Seminar Speaker: Nikita Sopenko, CMSA Title: Quasi-local algebras and invertible phases of matter Abstract: In the algebraic approach to quantum field theory, observables localized in bounded regions form a net of von Neumann algebras generating what is known as a quasi-local algebra. I will discuss the classification of quasi-local algebras under […]

  • Path integral quantization of particles via probability

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Dan Freed Title: Path integral quantization of particles via probability Abstract: This is the beginning of our study of Sourav Chatterjee's Gauge Theory Lecture Notes, a book-in-progress.  This lecture follows Chapter 1, which covers the path integral quantization of a single particle.  We begin in real time with […]

  • Geometry and Quantum Theory Seminar

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Dan Freed, Harvard Title: Path integral quantization of particles via probability (Part 2) Abstract: I will pick up where I left off last week.  The first half of the lecture will cover the general strategy of constructing a quantum system using Markov processes, as described in Section […]