Number Theory Seminar

Seminar information archive ~06/25Next seminarFuture seminars 06/26~

Date, time & place Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Naoki Imai, Shane Kelly

2023/11/01

17:00-18:00   Room #117 (Graduate School of Math. Sci. Bldg.)
Alex Youcis (University of Tokyo)
Prismatic realization functor for Shimura varieties of abelian type (English)
[ Abstract ]
Shimura varieties are certain classes of schemes which play an important role in various studies of number theory. The Langlands program is one of such examples. While far from known in general, it is expected that Shimura varieties are moduli spaces of certain motives with extra structure. In this talk I discuss joint work with Naoki Imai and Hiroki Kato, which constructs prismatic objects on the integral canonical models of Shimura varieties of abelian type at hyperspecial level. These may be thought of as the prismatic realization of such a hypothetical universal motive. I will also discuss how one can use this object to characterize these integral models, even at finite level.