Abstract Eugen Hellmann
A local model for the triangulate variety and applications
Abstract: In joint work with C. Breuil and B. Schraen we construct a scheme that models the singularities of a space of certain Galois representations. Analyzing this scheme we can control the local geometry of that space of Galois representations. This has applications to the problem of classicality of p-adic automorphic forms and to the construction of companion forms for p-adic automorphic forms.