Euler systems and p-adic L-functions for conjugate self-dual representations

Abstract: In this talk, I will describe joint work with S.W.A. Shah on the construction of a split anticyclotomic Euler system for a large class of conjugate self-dual automorphic representations admitting a Shalika model. This Euler system arises from special cycles on unitary Shimura varieties and the proof of the norm relations amounts to a computation in local representation theory. I will also describe the expected relation with $p$-adic $L$-functions (using the machinery of higher Hida theory) and (expected) applications to the Bloch-Kato conjecture.

algebraic geometrynumber theory

Audience: researchers in the topic

( paper | slides )

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Rendez-vous on special values and periods

Series comments: The main objective of this conference is to gather together young researchers interested in special values of L-functions and periods. These objects are at the crossroads of many recent important developments in arithmetic geometry, such as Euler systems or the theory of motives. The different talks will portray the variety of viewpoints with which L-functions and periods are studied at present.

Registration is free and mandatory, to get access to the livestream and recording of the talks.

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