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math.RT2025
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…
math.RT2025
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…
math.RT2025
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…