Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Ahsan Khan, HarvardCMSA Title: Markov processes and path integrals continued Abstract: I will continue the discussion of chapter two, in particular focusing on vacuum expectation values and reflection positivity.
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Tomer Schlank Title: From Markov processes to path integrals Abstract: We will continue with Chapter 2 of the book and cover how we take the Markov process approach and Wick rotation to give a rigorous definition of path integrals.
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 […]
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 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 […]
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Vasily Krylov, Harvard
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 […]
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.
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 […]
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 […]
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 3d holomorphic–topological field theories is expected to be governed by so-called DG-shifted Yangians. Following arXiv:2503.08770, I will present examples of such DG-shifted Yangians arising from […]
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 dg shifted Yangian. I will discuss their origin from the study of 3d holomorphic topological field theories, a variant of 3d TQFT. A dg shifted Yangian […]