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SUMMARY:Normalization in the integral models of Shimura varieties of Hodge
  (abelian) type - Yujie Xu (Harvard University)
DTSTART:20220707T133000Z
DTEND:20220707T143000Z
UID:TALK176225@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:Shimura varieties are moduli spaces of abelian varieties with 
 extra structures. Over the decades\, various mathematicians (e.g. Rapoport
 \, Kottwitz\, Rapoport-Zink etc.) have constructed nice integral models of
  Shimura varieties. In this talk\, I will discuss some motivic aspects of 
 integral models of abelian type constructed by Kisin (resp. Kisin-Pappas).
  I will talk about my recent work on removing the normalization step in th
 e construction of such integral models\, which gives closed embeddings of 
 Hodge type integral models into Siegel integral models. It boils down to p
 roving a certain closure model is unibranch. I will also mention an applic
 ation to toroidal compactifications of such integral models. 
LOCATION:Centre for Mathematical Sciences\, MR13
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