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SUMMARY:Dylan Pentland (Harvard University)
DTSTART:20230501T203000Z
DTEND:20230501T220000Z
DTSTAMP:20260422T220201Z
UID:STAGE/82
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/82/">C
 lassification of Shimura varieties</a>\nby Dylan Pentland (Harvard Univers
 ity) as part of STAGE\n\nLecture held in Room 2-449 in the MIT Simons Buil
 ding.\n\nAbstract\nPrimarily cover Chapters 6-8 of Milne.\n\nRemind us of 
 the definition of a Shimura datum\, and maybe give SV2*-SV6 on p.63. Sketc
 h the construction of the Siegel modular variety in Chapter 6 and why it s
 atisfies SV1-SV6. Show that the Siegel modular variety parametrizes polari
 zed abelian varieties over $\\mathbb{C}$ with symplectic level structure.\
 n\nSummarize Hodge type Shimura varieties as in Chapter 7.\n\nIf you have 
 time\, sketch what changes to go from Siegel modular varieties to PEL Shim
 ura varieties (Chapter 8). It would be great to cover some idea of Shimura
  varieties of abelian type (Chapter 9).\n
LOCATION:https://researchseminars.org/talk/STAGE/82/
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