2 citations · 2 across the 5 of their papers we have counts for
7 papers · 1 filter
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,…
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-…
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…
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…
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…
The Weyl-Kac weight formula
Gurbir Dhillon, Apoorva Khare
We provide the first formulae for the weights of all simple highest weight modules over Kac-Moody algebras. For generic highest weights, we present a formula for the weights of sim…