Collaborative Number Theory Seminar at the CUNY Graduate Center

Co-organizers: Gautam Chinta, Brooke Feigon, Krzysztof Klosin, Maria Sabitova, Lucien Szpiro.

The seminar currently meets Fridays from 2:00 to 3:30 PM in Room 6494. The CUNY Graduate Center is located on Fifth Avenue, on the east side of the street, between 34th and 35th Streets in midtown Manhattan. For further information, please contact Maria Sabitova.

Fall 2018 Schedule:

September 14: Ariel Weiss (University of Sheffield)

Title: Irreducibility of Galois representations associated to low weight Siegel modular forms

Abstract: If f is a cuspidal modular eigenform of weight k>1, Ribet showed that its associated p-adic Galois representation is irreducible for all primes. More generally, it is a hard open problem to show that the p-adic Galois representation attached to a cuspidal automorphic representation of GL(n) is irreducible. In this talk, I will discuss this conjecture for low weight Siegel modular forms, and prove that if such a form is not CAP or endoscopic, then its associated p-adic Galois representation is irreducible for 100% of primes p.

Seminar schedule in past semesters:

Fall 2017
Spring 2017

Fall 2016

Spring 2016
Fall 2015
Spring 2015

Fall 2014

Spring 2014
Fall 2013

Spring 2013

Fall 2012
Spring 2012

Fall 2011

Spring 2011
Fall 2009
Spring 2009
Spring 2007
Fall 2006
Spring 2006