CRC 478 C05 - The arithmetic of period domains and local shtukas

Basic data for this project

Description

Local shtukas are the analogue in equal positive characteristic of Barsotti-Tategroups. Both possess rigid analytic period domains and moduli spaces, whichmap to the corresponding period domains by étale period morphisms. In this project we extend the existing theory for local shtukas to the semistable case and to general reductive groups. We investigate the cohomology of their period domains, the image of the period morphisms both in equal and mixed characteristic, and the relation with a p-adic local Langlands correspondence.