Joint IAS/Princeton University Number Theory Seminar

Topic: Extremal cases of Rapoport-Zink spaces

Speaker: Michael Rapoport

Affiliation: Universität Bonn, University of Maryland

Date & Time: Thursday October 10th, 2019, 4:30pm - 5:30pm

Location: Simonyi Hall 101

Video: https://video.ias.edu/numbertheory/2019/1010-MichaelRapoport

This talk is about qualitative properties of the underlying scheme of Rapoport-Zink formal moduli spaces of p-divisible groups, resp. Shtukas. We single out those cases when the dimension of this underlying scheme is zero, resp. those where the dimension is maximal possible. The model case for the first alternative is the Lubin-Tate moduli space, and the model case for the second alternative is the Drinfeld moduli space. We exhibit a complete list in both cases.