Local models for moduli of global and local shtukas

Abstract: Moduli spaces for global $G$-shtukas appear as function fields analogs for Shimura varieties. This can be observed for example through Langlands philosophy. They possess local counterparts which are called Rapoport-Zink spaces for local $P$-shtukas which similarly arise as function fields analogs for Rapoport-Zink spaces for $p$-divisible groups. In this talk we first recall the construction of these moduli stacks (spaces), and after providing some preliminary backgrounds, we discuss the theory of local models for them. If time permits we also discuss some of the applications.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Comments: Zoom ID: 646 7802 6902

Password: 762858

Link: zoom.com.cn/j/64678026902?pwd=VUdTbUsvQmtYamhwT2dWbTZCSmx6Zz09

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POINTS - Peking Online International Number Theory Seminar

Series comments: Description: Seminar on number theory and related topics

This seminar series is sponsored by the Beijing International Center of Mathematical Research (BICMR) and the School of Mathematical Sciences of Peking University.

The conference number and password are available on the external website. See also the announcements on bicmr.pku.edu.cn

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