# 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_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

## 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.