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.
By Kęstutis Česnavičius
By Takeshi Saito
By Miaofen Chen
By Viviane Pons
By Viviane Pons
By Wenjie Fang
By Christoph Koutschan
By Misha Gromov
By Céline Duval
By Olivier Benoist
