EVENT DETAILS AND ABSTRACT

Title: Local deformation rings when \(l \neq p\)
Speaker: Jack Shotton
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

Given a mod p representation of the absolute Galois group of \(Q_l\), consider the universal framed deformation ring R parametrising its lifts. When l and p are distinct I will explain a relation between the mod p geometry of R and the mod p representation theory of \(GL_n(Z_l)\), that is parallel to the Breuil-Mézard conjecture in the \(l = p\) case. I will give examples and say something about the proof, which uses automorphy lifting techniques.