PIRSA:18090051

Toward AGT for general algebraic surfaces

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}}
          }

Andrei Negut

Massachusetts Institute of Technology (MIT) - Center for Extreme Quantum Information Theory (xQIT)

Talk number
PIRSA:18090051
Collection
Talk Type
Subject
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.