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SUMMARY:Zifan Wang (MIT)
DTSTART:20230313T203000Z
DTEND:20230313T220000Z
DTSTAMP:20260422T220047Z
UID:STAGE/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/77/">M
 oduli space of abelian varieties II</a>\nby Zifan Wang (MIT) as part of ST
 AGE\n\nLecture held in Room 2-449 in the MIT Simons Building.\n\nAbstract\
 nSections 2.4.-2.6 of <a href="http://www.math.uchicago.edu/~ngo/Shimura.p
 df">Genestier and Ngo\, Lectures on Shimura varieties</a>. We will finish 
 the proof that the functor $\\mathcal{A}$ is represented by a smooth quasi
 projective scheme. In particular\, to show the smoothness of $\\mathcal{A}
 $\, we review Grothendieck and Messing's theorem on deformations of abelia
 n schemes. Finally\, if we have time\, we will give an adelic description 
 of $\\mathcal{A}$ and define Hecke operators.\n
LOCATION:https://researchseminars.org/talk/STAGE/77/
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