PIRSA:22020053 Scientific Series Mathematical physics

DOI10.48660/22020053

Series: Mathematical Physics

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}}
}

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

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