SPEAKER:     Eric Urban

TITLE:     Eigenvarieties for reductive groups and applications

ABSTRACT:

The purpose of this talk is to explain the construction of Eigenvarieties in the sense of Coleman-Mazur for general reductive groups and explain its main properties: For example, it will provide the existence of many families of $p$-adic automorphic forms. If time allows it, I will explain one or two applications of this construction to the arithmetic of some Galois representations.