PIRSA:17100069

Moore-Tachikawa conjecture, affine Grassmannian and Coulomb branches of star-shaped quivers

Braverman, A. (2017). Moore-Tachikawa conjecture, affine Grassmannian and Coulomb branches of star-shaped quivers. Perimeter Institute. https://pirsa.org/17100069

Braverman, Alexander. Moore-Tachikawa conjecture, affine Grassmannian and Coulomb branches of star-shaped quivers. Perimeter Institute, Oct. 02, 2017, https://pirsa.org/17100069 

          @misc{ pirsa_PIRSA:17100069,
            doi = {10.48660/17100069},
            url = {https://pirsa.org/17100069},
            author = {Braverman, Alexander},
            keywords = {Mathematical physics},
            language = {en},
            title = {Moore-Tachikawa conjecture, affine Grassmannian and Coulomb branches of star-shaped quivers},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {oct},
            note = {PIRSA:17100069 see, \url{https://pirsa.org}}
          }

Alexander Braverman

University of Toronto

Talk number
PIRSA:17100069
Collection
Talk Type
Subject
Abstract

Moore and Tachikawa conjecture that there exists a functor from the category of 2-bordisms to a certain category whose objects are algebraic groups and morphisms between $G$ and $H$ are given by affine symplectic varieties with an action of $G\times H$.  I will explain a proof of this conjecture due to Ginsburg and Kazhdan, and its relation to Coulomb branches of certain quiver gauge theories which allows to make interesting calculations.