Vendredi 22 Avril

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Vendredi 22 Avril
Heure: 10:30 - 12:00
Lieu: Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13
Résumé: Géométrie Arithmétique et Motivique - Vanishing of non-Eisenstein cohomology of locally symmetric spaces for GL_2 over a CM field -
Description: Shayan Gholami
Locally symmetric spaces are generalizations of modular curves, and their cohomology plays an important role in the Langlands program. In this talk, I will first speak about vanishing conjectures and known results about the cohomology of locally symmetric spaces of a reductive group G with mod p coefficient after localizing at a maximal ideal of spherical Hecke algebra of G and after that, I will explain a sketch of my proof for the case G = GL_2(F), where F is a CM field.