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SUMMARY:Andrew Graham (Imperial College London)
DTSTART:20201124T143000Z
DTEND:20201124T153000Z
DTSTAMP:20260421T152029Z
UID:CamNT/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CamNT/7/">An
 ticyclotomic Euler systems for conjugate self-dual representations of $GL(
 2n)$</a>\nby Andrew Graham (Imperial College London) as part of Cambridge 
 Number Theory Seminar\n\n\nAbstract\nAn Euler system is a collection of Ga
 lois cohomology classes which satisfy certain compatibility relations unde
 r corestriction\, and by constructing an Euler system and relating the cla
 sses to L-values\, one can establish instances of the Bloch--Kato conjectu
 re. In this talk\, I will describe a construction of an anticyclotomic Eul
 er system for a certain class of conjugate self-dual automorphic represent
 ations\, which can be seen as a generalisation of the Heegner point constr
 uction. The classes arise from special cycles on unitary Shimura varieties
  and are closely related to the branching law associated with the spherica
 l pair $(GL(n)\\times GL(n)\, GL(2n))$. This is joint work with S.W.A. Sha
 h.\n
LOCATION:https://researchseminars.org/talk/CamNT/7/
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