# On local Galois deformation rings when l = p

## Location

383N

Monday, February 27, 2023 2:30 PM

Ashwin Iyengar (Johns Hopkins)

I will speak about joint work with Vytautas Paškūnas and Gebhard Böckle which describes the space of lifts (to characteristic 0, for instance) of a representation (with mod p coefficients) of the absolute Galois group of a finite extension of the p-adic numbers. In the talk, I will try to introduce and motivate the subject of deformation theory in the context of the Langlands program. Then I will state our results and try to illustrate how our proof works using a simple example.