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Seminars

Special Colloquium

Tame Betti local Langlands

2025/01/07 (Tue.) 15:30~16:30
  • Date : 2025/01/07 (Tue.) 15:30~16:30
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Jeremy Taylor (UC Berkeley)
  • Abstract : Representations of finite Weyl groups can be realized inside the top cohomology of Springer fibers. By replacing cohomology by equivariant K-theory, Kazhdan and Lusztig classified tamely ramified representations of p-adic groups. Arkhipov and Bezrukavnikov gave a coherent realization of the affine Hecke category, thereby categorifying the Kazhdan-Lusztig isomorphism. I will discuss the tamely ramified local Betti geometric Langlands equivalence, whose proof is joint work with Gurbir Dhillon. The automorphic side of the equivalence is a global deformation of the affine Hecke category, constructed using sheaves with infinite dimensional stalks.
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