Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série MATH-IHES
Domaines hep-th
Date Mercredi 17 Janvier 2018
Heure 10:00
Institut IHES
Salle CCMJS
Nom de l'orateur Caraiani
Prenom de l'orateur A.
Addresse email de l'orateur
Institution de l'orateur Imperial College
Titre On the vanishing of cohomology for certain Shimura varieties
Résumé I will prove that the compactly supported cohomology of certain unitary or symplectic Shimura varieties at level Gamma_1(p^\infty) vanishes above the middle degree. The key ingredients come from p-adic Hodge theory and studying the Bruhat decomposition on the Hodge-Tate flag variety. I will describe the steps in the proof using modular curves as a toy model. I will also mention an application to Galois representations for torsion classes in the cohomology of locally symmetric spaces for GL_n. This talk is based on joint work in preparation with D. Gulotta, C.Y. Hsu, C. Johansson, L. Mocz, E. Reineke, and S.C. Shih.
Numéro de preprint arXiv
Commentaires Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo
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