RESEARCH IN PAIRS
Serre Conjectures and p-adic Local Langlands
12-30 June 2017
12-30 June 2017
Our research project is framed in the p-adic local Langlands program, which has the ambition to describe Fontaine’s theory of p-adic local Galois representations in terms of p-adic representations of p-adic groups. The p-adic local correspondence is expected to be realized in suitable spaces of p-adic automorphic forms and we aim at using techniques involving local/global compatibility to prove strong evidence towards the local correspondence. At present very little is known outside the particular case of GL2(Qp) ([Col10]). One of the main leitfaden toward its generalization is the Breuil-Mézard conjecture, a statement which relies the special ber of potentially crystalline deformation rings to weights in Hecke isotypical spaces of algebraic automorphic forms.
|
Participants
Daniel Le (University of Toronto) Sponsor |