Franco-Asian Summer School on Arithmetic Geometry

Collection Franco-Asian Summer School on Arithmetic Geometry

Organizer(s) Ahmed Abbes (CNRS & IHÉS), Ana Caraiani (Imperial College London ), Ariane Mézard (Sorbonne Université), Takeshi Saito (University of Tokyo), Takeshi Tsuji (The University of Tokyo), Daxin Xu (Chinese Academy of Sciences), Weizhe Zheng (Chinese Academy of Sciences).
Date(s) 30/05/2022 - 03/06/2022
linked URL https://www.ihes.fr/~abbes/Luminy/luminy2022.html
00:00:00 / 00:00:00
20 23

Sen theory for locally analytic representations

By Lue Pan

Let p be a prime number. The classical work of Sen attaches an operator (called the Sen operator) to every finite-dimensional continuous p-adic representation of the absolute Galois group of Q_p. We will present a generalization of this construction to locally analytic Galois representations (which are possibly infinite-dimensional and will be defined in the talk) and discuss several applications.

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