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SUMMARY:Eunsu Hur (MIT)
DTSTART:20230424T203000Z
DTEND:20230424T220000Z
DTSTAMP:20260422T220355Z
UID:STAGE/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/81/">S
 himura data and Shimura varieties</a>\nby Eunsu Hur (MIT) as part of STAGE
 \n\nLecture held in Room 2-449 in the MIT Simons Building.\n\nAbstract\nPr
 imarily cover Chapter 4-5 of Milne.\n\nDefine congruence subgroup and rela
 te to compact open subgroups of $G(\\mathbb{A}_f)$\, no proofs necessary. 
 Define connected Shimura datum\, equivalence via Prop. 4.8. Proposition 4.
 9.  Define connected Shimura variety. Cover Example 4.14 on Hilbert modula
 r varieties. Give the adelic description in Prop 4.18 and Prop 4.19.\n\nRe
 mind us of $G^{\\mathrm{der}}$ and $G^{\\mathrm{ad}}$. Define Shimura datu
 m\, compare to connected Shimura datum. Give Ex 5.6. Cover Prop 5.7\, Cor 
 5.8\, Prop 5.9. Define Shimura varieties. Define a morphism of Shimura var
 ieties.\n
LOCATION:https://researchseminars.org/talk/STAGE/81/
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