Anticyclotomic Euler systems for conjugate self-dual representations of GL(2n)

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• Andrew Graham (Imperial College London)
• Tuesday 24 November 2020, 14:30-15:30
• Online.

If you have a question about this talk, please contact Rong Zhou.

An Euler system is a collection of Galois cohomology classes which satisfy certain compatibility relations under corestriction, and by constructing an Euler system and relating the classes to L-values, one can establish instances of the Bloch—Kato conjecture. In this talk, I will describe a construction of an anticyclotomic Euler system for a certain class of conjugate self-dual automorphic representations, which can be seen as a generalisation of the Heegner point construction. 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) x GL(n), GL(2n)). This is joint work with S.W.A. Shah.

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This talk is part of the Number Theory Seminar series.

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