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【ハイブリッドによる開催】東工大数論・幾何学セミナー：Alex Youcis 氏

講演タイトル: 　Serre--Tate theory for Shimura varieties of abelian type
アブストラクト: 　 The celebrated Serre--Tate theorem says that deformations of an abelian variety are naturally parameterized in terms of deformation of the abelian variety's Barsotti--Tate group. In particular, this says that the functor from Mumford's moduli spaces of principally polarized abelian varieties to the moduli stack of Barsotti--Tate groups is formally étale. In this talk I will discuss joint work with Naoki Imai and Hiroki Kato which shows a similar result holds true for arbitrary Shimura varieties of abelian type (at hyperspecial level), for which Mumford's moduli spaces are very specific examples of.

更新日：2024.05.31