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SUMMARY:Andrew Graham (Imperial College London)
DTSTART:20210113T160000Z
DTEND:20210113T170000Z
DTSTAMP:20260418T065435Z
UID:LNTS/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/24/">An
 ticyclotomic Euler systems for conjugate self-dual representations of $GL(
 2n)$</a>\nby Andrew Graham (Imperial College London) as part of London num
 ber theory seminar\n\n\nAbstract\nAn Euler system is a collection of Galoi
 s cohomology classes which satisfy certain compatibility relations under c
 orestriction\, and by constructing an Euler system and relating the classe
 s to $L$-values\, one can establish instances of the Bloch--Kato conjectur
 e. In this talk\, I will describe a construction of an anticyclotomic Eule
 r system for a certain class of conjugate self-dual automorphic representa
 tions\, which can be seen as a generalisation of the Heegner point constru
 ction. The classes arise from special cycles on unitary Shimura varieties 
 and are closely related to the branching law associated with the spherical
  pair $(GL(n) \\times GL(n)\, GL(2n))$. This is joint work with S.W.A. Sha
 h.\n
LOCATION:https://researchseminars.org/talk/LNTS/24/
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