PIRSA:17100069

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

### APA

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

### MLA

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

### BibTex

          @misc{ 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

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## 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.