PIRSA:22020053

Quantum vertex algebras and cohomological Hall algebras

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

Latyntsev, Alexei. Quantum vertex algebras and cohomological Hall algebras . Perimeter Institute, Feb. 08, 2022, https://pirsa.org/22020053 

          @misc{ pirsa_PIRSA:22020053,
            doi = {10.48660/22020053},
            url = {https://pirsa.org/22020053},
            author = {Latyntsev, Alexei},
            keywords = {Mathematical physics},
            language = {en},
            title = {Quantum vertex algebras and cohomological Hall algebras },
            publisher = {Perimeter Institute},
            year = {2022},
            month = {feb},
            note = {PIRSA:22020053 see, \url{https://pirsa.org}}
          }

Alexei Latyntsev

University of Southern Denmark

Talk number
PIRSA:22020053
Collection
Talk Type
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