cherubino

Levi restriction for Coulomb branch algebras and categorical $\mathfrak{g}$-actions for truncated shifted Yangians – Joel Kamnitzer (University of Toronto, Canada)

Abstract

​Given a representation $V$ of a reductive group $G$, Braverman-Finkelberg-Nakajima defined a Poisson variety called the Coulomb branch, using a convolution algebra construction.  This variety comes with a natural deformation quantization, called a Coulomb branch algebra.  Important cases of these Coulomb branches are (generalized) affine Grassmannian slices, and their quantizations are truncated shifted Yangians.  Motivated by the geometric Satake correspondence, we define a categorical $\mathfrak{g}$-action on modules for these truncated shifted Yangians.  Our main tool is the study of how the Coulomb branch algebra changes when we pass from $G$, $V$ to $L$, $U$, where $L$ is a Levi in $G$ and $U$ is the invariants for a coweight defining $L$.

Click here for the slides of the talk and here to see the video of the talk.

Further information is available on the event page on the Indico platform.

Torna in cima