The arithmetic of period domains and local shtuka (C 05)

• Subject Area: Mathematics
• Term: from 2007 to 2009
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5482091

Local shtuka are the analogue in equal positive characteristic of Barsotti-Tate groups. Both possess rigid analytic period domains and moduli spaces, which map to the corresponding period domains by étale period morphisms. In this project we extend the existing theory for local shtuka 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.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 478: Geometric structures in mathematics
• Applicant Institution: Universität Münster
• Project Head: Professor Dr. Urs Hartl