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SUMMARY:Yujie Xu (Harvard)
DTSTART:20211112T153000Z
DTEND:20211112T170000Z
DTSTAMP:20260423T004655Z
UID:CAFAS/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAFAS/31/">O
 n normalization in the integral models of Shimura varieties of Hodge type<
 /a>\nby Yujie Xu (Harvard) as part of Columbia Automorphic Forms and Arith
 metic Seminar\n\n\nAbstract\nShimura varieties are moduli spaces of abelia
 n varieties with extra structures. Over the decades\, various mathematicia
 ns (e.g. Rapoport\, Kottwitz\, etc.) have constructed integral models of S
 himura varieties. In this talk\, I will discuss some motivic aspects of in
 tegral models of Hodge type constructed by Kisin (resp. Kisin-Pappas). I w
 ill talk about recent work on removing the normalization step in the const
 ruction of such integral models\, which gives closed embeddings of Hodge t
 ype integral models into Siegel integral models under some assumption. I w
 ill explain how this question is related to the Grothendieck Standard Conj
 ecture D for abelian varieties\, and sketch a proof of this type of questi
 ons if time permits. I will also mention an application to toroidal compac
 tifications of Hodge type integral models.\n
LOCATION:https://researchseminars.org/talk/CAFAS/31/
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