PIRSA:18090051 Scientific Series Mathematical physics

DOI10.48660/18090051

Series: Mathematical Physics

Negut, A. (2018). Toward AGT for general algebraic surfaces. Perimeter Institute. https://pirsa.org/18090051

Negut, Andrei. Toward AGT for general algebraic surfaces. Perimeter Institute, Sep. 20, 2018, https://pirsa.org/18090051 

@misc{ pirsa_PIRSA:18090051,
  doi = {10.48660/18090051},
  url = {https://pirsa.org/18090051},
  author = {Negut, Andrei},
  keywords = {Mathematical physics},
  language = {en},
  title = {Toward AGT for general algebraic surfaces},
  publisher = {Perimeter Institute},
  year = {2018},
  month = {sep},
  note = {PIRSA:18090051 see, \url{https://pirsa.org}}
}

Abstract

The Alday-Gaiotto-Tachikawa correspondence connects gauge theory on a fourfold with conformal field theory. We are interested in a certain algebro-geometric incarnation of this framework, where the fourfold is an algebraic surface and instantons/differential geometry are replaced with sheaves/algebraic geometry. In this talk, we will present a certain approach to AGT that yields partial results for quite general surfaces, and ask questions about what still needs to be done to state and prove the full correspondence in the language of algebraic geometry.

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