PIRSA:17100069 Scientific Series Mathematical physics

DOI10.48660/17100069

Series: Mathematical Physics

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}}
}

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.

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