SUSTech // Mathematics // Conference 中文

Algebra & Combinatorics Seminar

Jan 1-1, 1970

A p-adic Simpson correspondence for rigid analytic varieties

Abstract

The p-adic Simpson correspondence was firstly studied by Faltings for schemes. In this talk, we shall establish such a correspondence for a rigid analytic variety X with a liftable good reduction by constructing a new period sheaf. Our construction coincides with previous works of Faltings and Liu-Zhu.