Hodge-Tate theory for p-adic character varietiesArithmetic Geometry and Representation Theory Research Seminar

by Ben Heuer (Leibniz Universität Hannover)

Friday Dec 12, 2025, 2:05 PM → 4:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

p-adic character varieties are rigid analytic moduli spaces for p-adic  representations of fundamental groups. For curves, I will explain how these varieties lead to a non-abelian generalisation of the p-adic Hodge-Tate decomposition, by way of an arithmetic Hitchin fibration. I will then report on joint work in progress with Magnus Carlson and Ruth Wild which aims to use this perspective for a new approach to anabelian geometry for curves.