Colloquium on the Geometry of Groups and Numbers

Taking place at Université Pierre et Marie Curie, 8th of June, 2017.

Mladen Dimitrov (Université Lille 1)

p-adic L-functions for GL(2n)

This is a report on an ongoing joint work with F. Januszewski and A. Raghuram aiming at constructing p-adic L-functions for cohomological cuspidal automorphic representations π of GL(2n) over a totally real field admitting a Shalika model. Our results are partially motivated by their relation to the non-vanishing of the L-functions of twists of π at central critical points.

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