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.