activity
20162022
most citedFaces of highest weight modules and the universal Weyl polyhedron

5 citations · 15 across the 10 of their papers we have counts for

collaborators

10 papers

math.RT2022

An informal introduction to categorical representation theory and the local geometric Langlands program

Gurbir Dhillon

We provide a motivated introduction to the theory of categorical actions of groups and the local geometric Langlands program. Along the way we emphasize applications, old and new,…

math.AG2022

Coulomb branches of noncotangent type (with appendices by Gurbir Dhillon and Theo Johnson-Freyd)

Alexander Braverman, Gurbir Dhillon, Michael Finkelberg +2

We propose a construction of the Coulomb branch of a gauge theory corresponding to a choice of a connected reductive group and a symplectic finite-dimensio…

math.RT2021

The Drinfeld--Sokolov reduction of admissible representations of affine Lie algebras

Gurbir Dhillon

Fix an affine Lie algebra with associated principal affine W-algebra . A basic conjecture of Frenkel--Kac--Wakimoto asserts that Drinfeld-…

math.RT2021

Affine Harish-Chandra bimodules and Steinberg--Whittaker localization

Justin Campbell, Gurbir Dhillon

We construct categories of Harish-Chandra bimodules for affine Lie algebras analogous to Harish-Chandra bimodules with infinitesimal characters for simple Lie algebras, addressing…

math.RT2020★ 2 cited

Localization for affine -algebras

Gurbir Dhillon, Sam Raskin

We prove a localization theorem for affine -algebras in the spirit of Beilinson--Bernstein and Kashiwara--Tanisaki. More precisely, for any non-critical regular weight , we i…

math.RT2019

Bernstein-Gelfand-Gelfand resolutions and the constructible -structure

Gurbir Dhillon

We consider analogues of the Bernstein-Gelfand-Gelfand resolution in a highest weight category . We prove the resulting category of complexes is a chain-level lift of…