[HG_A] Locally analytic representations and p-adic automorphic forms
ABSTRACT
The p-adic local Langlands correspondence investigates the relationship between p-adic representations of p-adic Lie groups and p-adic representations of Galois groups. Its locally analytic aspect studies locally analytic representations of p-adic Lie groups. In this talk, I will give an introduction to the application of locally analytic representations to the construction of p-adic families of automorphic forms, as well as to the study of the classicality of p-adic automorphic forms and the Fontaine-Mazur conjecture.
