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SUMMARY:Niven Achenjang (MIT)
DTSTART:20230508T203000Z
DTEND:20230508T220000Z
DTSTAMP:20260422T172132Z
UID:STAGE/83
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/83/">C
 omplex Multiplication\, Shimura-Taniyama formula</a>\nby Niven Achenjang (
 MIT) as part of STAGE\n\nLecture held in Room 2-449 in the MIT Simons Buil
 ding.\n\nAbstract\nMotivated by the desire to construct canonical models o
 f Shimura curves (in the final talk)\, we introduce the theory of complex 
 multiplication (CM) of abelian varieties. After briefly discussing the con
 nection between CM and canonical models\, we will cover the basic properti
 es of CM abelian varieties\, state the Shimura-Taniyama formula (without p
 roof)\, and then give the main theorem of complex multiplication. Our main
  reference for all of this will be chapters 10 and 11 of Milne.\n
LOCATION:https://researchseminars.org/talk/STAGE/83/
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