On normalization in the integral models of Shimura varieties of Hodge type

Algebra and Number Theory Seminar
Event time: 
Tuesday, November 9, 2021 - 4:30pm
Yujie Xu
Speaker affiliation: 
Event description: 

Shimura varieties are moduli spaces of abelian varieties with extra structures. Over the decades, various mathematicians (e.g. Rapoport, Kottwitz, etc.) have constructed integral models of Shimura varieties. In this talk, I will discuss some motivic aspects of integral models of Hodge type constructed by Kisin (resp. Kisin-Pappas). I will talk about recent work on removing the normalization step in the construction of such integral models, which gives closed embeddings of Hodge type integral models into Siegel integral models. I will also mention an application to toroidal compactifications of such integral models.

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