Conference on Arithmetic Geometry in honor of Luc Illusie

Collection Conference on Arithmetic Geometry in honor of Luc Illusie

Organizer(s) Lei Fu (Tsinghua University), Fabrice Orogozo (CNRS&IMJ-PRG), Weizhe Zheng (MCM, AMSS, CAS)
Date(s) 6/7/21 - 6/11/21
00:00:00 / 00:00:00
17 22

On a generalization of Colmez’s functor

By Yongquan Hu

In 2005, Colmez defined an exact functor from the category of finite length admissible smooth representations of GL_2(Q_p) over a field of characteristic p to the category of finite length continuous representations of the absolute Galois group of Q_p. This functor has played a crucial role in the p-adic Langlands program for GL_2(Q_p). In this talk, I will review the construction of Colmez’s functor and a generalization due to Breuil. I will discuss the exactness and finiteness of this (generalized) functor. This is a joint work with Breuil, Herzig, Morra and Schraen.

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