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SUMMARY:David Loeffler (University of Warwick)
DTSTART:20210323T143000Z
DTEND:20210323T153000Z
DTSTAMP:20260423T130355Z
UID:MITNT/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/24/">T
 he Bloch--Kato conjecture for critical values of GSp(4) L-functions</a>\nb
 y David Loeffler (University of Warwick) as part of MIT number theory semi
 nar\n\n\nAbstract\nIn Sarah's talk last week\, she explained the construct
 ion of a family of Galois cohomology \nclasses (an Euler system) attached 
 to Siegel modular forms\, and related the localisations of these classes a
 t p to non-critical values of p-adic L-functions. In this talk\, I will ex
 plain how to 'analytically continue' this relation to obtain an explicit r
 eciprocity law relating Galois cohomology classes to critical values of L-
 functions\; and I will discuss applications of this result to the Bloch--K
 ato conjecture.\n
LOCATION:https://researchseminars.org/talk/MITNT/24/
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