Kazuhiro Ito

Last Update 2022/11/21
My research fields include number theory, algebraic geometry, and especially padic geometry. I study the moduli spaces of abelian varieties and pdivisible groups, such as Shimura varieties, and their relation to the moduli space of K3 surfaces (the KugaSatake construction). Also, I’m interested in cohomology theory of algebraic varieties and rigid spaces over padic fields, and have been particularly studying the weightmonodromy conjecture. Currently, I am trying to investigate descent methods for vector bundles over integral perfectoid rings and perfectoid spaces with respect to the (pcomplete) arctopology introduced by BhattMathew and use them to understand the moduli spaces of padic shtukas constructed by Scholze from ``algebraic'' points of view.
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