2017년도 이전 세미나
p-adic geometry of certain Shimura varieties
|Category||PMI Number Theory Seminar|
|날짜||2016-04-06||시간||16:50:00 ~ 18:20:00|
|장소||Math Sci Bldg 404||Host||YoungJu Choie|
|Speaker||Wansu Kim||소속||King’s College London|
|TOPIC||p-adic geometry of certain Shimura varieties|
|소개 및 안내사항||Recently, there have been many exciting new developments in the study of p-adic geometry and cohomology of a wide class of Shimura varieties. Underlying many of these developments is the new technique to study “infinite-level” Shimura varieties as p-adic analytic spaces, as well as new developments in p-adic Hodge theory (both of which are built upon P. Scholze’s theory of perfectoid spaces).
In this talk, we will illustrate the geometric results on Shimura varieties proved in the recent paper by Caraiani and Scholze, using the example of modular curves (and, if necessary, other explicit low-dimensional examples). Then we will discuss my work in progress on generalising Mantovan’s formula (in the Caraiani-Scholze version) for Hodge-type Shimura varieties.