5 papers
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…
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…
Tame local Betti geometric Langlands
Gurbir Dhillon, Jeremy Taylor
We prove a monoidal equivalence between spectral and automorphic realizations of the universal affine Hecke category, thereby proving the tamely ramified local Betti geometric Lang…
The universal monodromic Arkhipov--Bezrukavnikov equivalence
Gurbir Dhillon, Jeremy Taylor
We identify equivariant quasicoherent sheaves on the Grothendieck alteration of a reductive group with universal monodromic Iwahori--Whittaker sheaves on the enhanced…