## Automorphic Forms

Automorphic Forms

## Automorphy Lifting for Galois Representations With Small Residual Image

Jack Thorne
Harvard University
February 3, 2011 (All day)

GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR

## Completed Cohomology of Shimura Curves and a p-Adic Jacquet-Langlands Correspondence

James Newton
Member, School of Mathematics
February 9, 2011 - 2:15pm

In this talk, I will describe a construction of a geometric realisation of a p-adic Jacquet-Langlands correspondence for certain forms of GL(2) over a totally real field. The construction makes use of the completed cohomology of Shimura curves, and a study of the bad reduction of Shimura curves due to Rajaei (generalising work of Ribet for GL(2) over the rational numbers). Along the way I will also describe a p-adic analogue of Mazur's principle in this setting.

## Eisenstein Congruences and Euler Systems

Eric Urban
Columbia University; Member, School of Mathematics
February 10, 2011 (All day)

GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR

## On Automorphy of Certain Galois Representations of GO_4 Type

Tong Liu
Purdue University; Member, School of Mathematics
February 24, 2011 (All day)

GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR

## Recent developments in non-commutative Iwasawa theory - 2

Mahesh Kakde
University College London
March 25, 2011 - 2:30pm

## Recent developments in non-commutative Iwasawa theory - 1

David Burns
King's College London
March 25, 2011 - 11:30am

## Vanishing of the $\mu$-invariant of $p$-adic Hecke $L$ functions

Haruzo Hida
University of California, Los Angeles
March 25, 2011 - 10:00am

## Locally algebraic vectors in the p-adic Langlands correspondence

Gabriel Dospinescu
Ecole Polytechnique
March 24, 2011 - 2:30pm