8 citations · 12 across the 9 of their papers we have counts for
9 papers
Affine Harish-Chandra center in positive characteristic
Gurbir Dhillon, Ivan Losev
Let be a split reductive group defined over a field of characteristic bigger than the Coxeter numbers of its simple factors. We identify the Harish--Chandra centers of the asso…
The Kazhdan-Lusztig category of W-algebras of simply-laced Lie algebras at irrational levels
Thomas Creutzig, Gurbir Dhillon, Shigenori Nakatsuka
Let be a simple, simply-laced Lie algebra and nilpotent. The Kazhdan-Lusztig category of the W-algebra associated with $(\…
Endoscopy for metaplectic affine Hecke categories
Gurbir Dhillon, Yau Wing Li, Zhiwei Yun +1
For a possibly twisted loop group , and any character sheaf of its Iwahori subgroup, we identify the associated affine Hecke category with a combinatorial category of Soergel b…
Tame local Betti geometric Langlands
Gurbir Dhillon, Jeremy Taylor
Working over the integers, we prove that the universal monodromic affine Hecke category is monoidally equivalent to ind-coherent sheaves on the Steinberg stack, confirming a conjec…
The universal monodromic Arkhipov-Bezrukavnikov equivalence
Gurbir Dhillon, Jeremy Taylor
Working with integral coefficients, we identify universal monodromic Iwahori-Whittaker sheaves on the enhanced affine flag variety with ind-perfect complexes on the Grothendieck-Sp…
Singular support for G-categories
Gurbir Dhillon, Joakim Færgeman
For a reductive group , we introduce a notion of singular support for cocomplete dualizable DG-categories equipped with a strong -action. This is done by considering the sing…
A Langlands dual realization of coherent sheaves on the nilpotent cone
Harrison Chen, Gurbir Dhillon
Let and be Langlands dual connected reductive groups. We establish a monoidal equivalence of -categories between equivariant quasicoherent sheaves on the fo…
Fundamental local equivalences in quantum geometric Langlands
Justin Campbell, Gurbir Dhillon, Sam Raskin
In quantum geometric Langlands, the Satake equivalence plays a less prominent role than in the classical theory. Gaitsgory--Lurie proposed a conjectural substitute, later termed th…
Semi-infinite cohomology and the linkage principle for -algebras
Gurbir Dhillon
Let be a simple Lie algebra, and let be the affine -algebra associated to a principal nilpotent element of and level . We explain a dual…