p-adic representations, modularity, and beyond

This web page contains material for the workshop p-adic representations, modularity, and beyond.

Notes from the lectures at the workshop, along with scans of notes from Breuil's talk and notes from Berger's talk.

Report on the working group on mod p local Langlands.

A list of participants is available.

The preprint Serre's modularity conjecture: the case of odd conductor (I) by Khare and Wintenberger can be found on Khare's web page. Also, here is a possibly out-of-date version of the preprint The Fontaine-Mazur conjecture for GL₂ by Kisin.

Luis Dieulefait's paper "Remarks on Serre's modularity conjecture" is available on his homepage.