Title：Families of trianguline representations and finite slope spaces

Speaker: Eugen Hellmann

Date & Time: Sep 17, 2012 10:00-12:15

Venue: Room 09 at Quan-Zhai (全斋), Beijing International Center for Mathematical Research, Peking University

Abstract: We apply the theory of families of (phi，Gamma)-modules to trianguline families as defined by Chenevier. This yields a new definition of Kisin’s finite slope subspace as well as higher dimensional analogues. Especially we show that these finite slope spaces contain eigenvarieties for unitary groups as closed subspaces. This implies that the representations arising from overconvergent p-adic automorphic forms of regular weight on certain unitary groups are trianguline when restricted to the local Galois group.