Vendredi 28 Octobre

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Vendredi 28 Octobre
Heure: 10:30 - 12:00
Lieu: Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13
Résumé: Géométrie Arithmétique et Motivique - S-arithmetic (co)homology and p-adic automorphic forms -
Description: Guillem TarrachIn the last few decades, the theory of p-adic modular forms has seen
many applications to different problems in number theory. This theory is
well-understood, its central objects of study being overconvergent
p-adic modular forms. However, when attempting
to generalize the theory to automorphic forms for more general
reductive groups, the picture is less clear. For example, there are
several different proposed definitions for spaces of p-adic automorphic
forms, such as overconvergent and completed cohomology.
In this talk I will give an overview of the subject and discuss a
different proposal, based on the study of the (co)homology of
p-arithmetic groups with coefficients in p-adic locally analytic