Coulomb branches and cylindrical KLRW algebras

Presentation Date: 

Friday, September 11, 2020

Presentation Slides: 

video of the talk: part I

video of the talk: part II

Abstract:  Remarkable work of Braverman-Finkelberg-Nakajima has constructed, based on some fancy quantum field theory, a fascinating collection of spaces called "Coulomb branches." The definition of these involves the geometry of affine Grassmannians, and thus is not so easy for many people think about.  Luckily, the algebraic tools for understanding the most important cases of these algebras is quite broadly known in the categorification community: the diagrammatics of KLRW algebras.  I'll explain how to make this connection, and the consequences for representation theory and knot homology.