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PIRSA:22020053

Video URL

https://pirsa.org/22020053

Quantum vertex algebras and cohomological Hall algebras

Latyntsev, A. (2022). Quantum vertex algebras and cohomological Hall algebras . Perimeter Institute for Theoretical Physics. https://pirsa.org/22020053

Alexei Latyntsev University of Southern Denmark

Talk numberPIRSA:22020053
DOI10.48660/22020053
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

There is an extremely rich history of interaction between physics and moduli spaces, for instance cohomological Hall algebras/algebras of BPS states, or vertex/chiral algebras. In this talk, I will explain a link between Joyce vertex algebras and one dimensional CoHAs, based on my paper 2110.14356, where quantum vertex algebras play a central role. The main technical tool is a ``bivariant" Euler class which makes torus localisation work in this context. I will also talk about ongoing work, in this area as well as in closely related projects.

Zoom Link: https://pitp.zoom.us/j/93045858347?pwd=N25FNVVjNEFFN09sdmFUV2M2YlZ5QT09