3 papers
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…
math.RT2024
The real affine Grassmannian and quantum SL(2)
Mark Macerato, Jeremy Taylor
We prove that the category of equivariant perverse sheaves on the affine Grassmannian of PGL(2, R) is highest weight and we construct the projective objects. Moreover we prove that…