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SUMMARY:Nir Elber (MIT)
DTSTART:20261022T203000Z
DTEND:20261022T220000Z
DTSTAMP:20261023T104551Z
UID:STAGE/166
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/166/">
 The Shimura–Taniyama formula</a>\nby Nir Elber (MIT) as part of STAGE\n\
 nLecture held in Room 2-105 in the MIT Simons Building.\n\nAbstract\nWe st
 ate and prove the Shimura–Taniyama formula\, under some technical restri
 ctions. Let $A$ be an abelian variety with complex multiplication by a CM 
 algebra $E$. Roughly speaking\, the Shimura–Taniyama formula asserts tha
 t the Frobenius action on the reduction of $A$ arises from an element of $
 E$. This can be viewed as a weak way to access information about the Galoi
 s representation associated to $A$. Time-permitting\, we will state (but n
 ot prove) the Main theorem of complex multiplication\, which gives complet
 e access to this Galois representation.\n
LOCATION:https://researchseminars.org/talk/STAGE/166/
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