## 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.

## Spring 2019 Schedule:

May 10:  Preston Wake (IAS)

Title: Tame derivatives and the Eisenstein ideal

Abstract: As was made famous by Mazur, the mod-5 Galois representation associated to the elliptic curve $X_0\left(11\right)$ is reducible. In fact, the mod-25 Galois representation is also reducible. We will talk about this kind of extra reducibility phenomenon, and how its related, on one hand, to a ‘tame deriviative’ of an L-function, and on the other hand, to an algebraic invariant. This type of relation is predicted by the Bloch-Kato conjecture. This is a joint work with Akshay Venkatesh.

Seminar schedule in past semesters:

Fall 2018
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
2010
Fall 2009
Spring 2009
Spring 2007
Fall 2006
Spring 2006