Previous Special Year Seminar

Feb
09
2011

Galois Representations and Automorphic Forms Seminar

Completed Cohomology of Shimura Curves and a p-Adic Jacquet-Langlands Correspondence
James Newton
2:15pm|S-101

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...

Jan
20
2011

Galois Representations and Automorphic Forms Seminar

Local-Global Compatibility and Monodromy
Ana Caraiani
2:15pm|S-101

Given a cuspidal automorphic representation of GL(n) which is regular algebraic and conjugate self-dual, one can associate to it a Galois representation. This Galois representation is known in most cases to be compatible with local Langlands. When n...

Dec
16
2010

Galois Representations and Automorphic Forms Seminar

Two Dimensional Galois Representations Over Imaginary Quadratic Fields
Andrei Jorza
2:15pm|S-101

To a regular algebraic cuspidal representation of GL(2) over a quadratic imaginary field, whose central character is conjugation invariant, Taylor et al. associated a two dimensional Galois representation which is unramified at l different from p...

Dec
15
2010

Galois Representations and Automorphic Forms Seminar

Ramification in Iwasawa Modules
Chandrashekar Khare
2:15pm|S-101

Iwasawa developed his theory for class groups in towers of cyclotomic fields partly in analogy with Weil's theory of curves over finite fields. In this talk, we present another such conjectural analogy. It seems intertwined with Leopoldt's...