Mittagsseminar: Tobias Schmidt: Flag varieties and p-adic representations
Dienstag, 14.01.2020 10:15 im Raum SR 1C
Iwahori-Hecke algebras of p-adic reductive groups, with coefficients in fields of positive characteristic, occur naturally in the mod p local Langlands programme. In this talk we describe some first steps towards geometrizing the q-generic Iwahori-Hecke algebra of a p-adic GL_n. Using Vignéras Bernstein basis of the Hecke algebra, we construct a generic version of the anti-spherical module and explain its link to the K-theory of the Vinberg semigroup. Specialising at q=0 yields corresponding mod p versions. This is joint work with C. Pépin.