6 papers
A Microlocal Description of Aubert-Zelevinsky Duality on Unipotent -Parameters
Jonas Antor, Emile Okada
We give a microlocal description of the Aubert--Zelevinsky involution for all unipotent representations of all inner forms of simple adjoint unramified -adic groups. Via the rea…
Gradings on the Hecke category, and categorification with unequal parameters
Jonas Antor, Ben Elias
We classify gradings on the Hecke category that refine the standard integer grading. We also classify object-preserving autoequivalences of the Hecke category. We obtain a natural…
An exotic Springer correspondence for
Jonas Antor
We investigate the structure of the `exotic nilcone' of which is defined by exploiting certain characteristic two phenomena. We show that there are finitely many orbits on th…
Geometric realizations of affine Hecke algebras with unequal parameters
Jonas Antor
We give a -theoretic realization of all affine Hecke algebras with two unequal parameters including exceptional types. This extends the celebrated work of Kazhdan and Lusztig, w…
Canonical bases via pairing monomials
Jonas Antor
For any quantum group of finite ADE type, we prove a new formula for the standard bilinear form evaluated at monomials. Combining this with ideas from the Lusztig-Shoji algorithm,…
Formality in the Deligne-Langlands correspondence
Jonas Antor
The Deligne-Langlands correspondence parametrizes irreducible representations of the affine Hecke algebra by certain perverse sheaves. We show that this…