A Breuil-Mezard type conjecture for locally analytic principal series representations

Mardi 27 septembre 2016 14:15-15:15 - Eugen Hellmann - Universität Bonn

Résumé : In joint work with C.Breuil and B.Schraen we formulate a conjecture comparing the multiplicities of irreducible constituents of locally analytic induced representations with the multiplicities of certain cycles in a space of p-adic Galois representations, the so called space of trianguline representations. In this talk I want to report on progress towards this conjecture. We construct a local model for the space of trianguline representations that describes its local geometry in group theoretic terms. This has also application to classicality criteria for p-adic automorphic forms.

Lieu : Bât. 425, salle 117-119

A Breuil-Mezard type conjecture for locally analytic principal series representations  Version PDF