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

• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2007 bis 2009
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 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-Verfahren: Sonderforschungsbereiche
• Teilprojekt zu: SFB 478: Geometrische Strukturen in der Mathematik
• Antragstellende Institution: Universität Münster
• Teilprojektleiter: Professor Dr. Urs Hartl