Faculty of Mathematics
Collaborative Research Centre 701
Spectral Structures and Topological Methods in Mathematics

# Wednesday, November 15, 2017 - 15:15 in C01-148

## $(G,\mu)$-displays and Rapoport-Zink spaces

A talk in the 'Bielefeld Arithmetic Geometry Seminar' series by
Oliver Bültel
 Abstract: Let $(G,\mu)$ be a pair of a reductive group $G$ over the $p$-adic integers and a minuscule cocharacter $\mu$ of $G$ defined over an unramified extension. We introduce "$(G,\mu)$-displays" which generalize Zink's Witt vector displays. We use these to define Rapoport-Zink formal schemes purely group theoretically, i.e. without usung $p$-divisible groups.