14-18 October 2019
University of Lille
Europe/Paris timezone

Mini-course 1: Lecture 2 (Overconvergent cohomology)

17 Oct 2019, 11:00
1h
Salle de réunion (University of Lille)

Salle de réunion

University of Lille

Cité Scientifique – Bâtiment M2 59655 Villeneuve d'Ascq Cedex France

Speaker

Daniel Barrera (Universidad de Santiago)

Description

We introduce and study the overconvergent cohomology adapted to the
Shalika setting. Then we describe how to evaluate this cohomology in order to produce distributions over the expected Galois group. Moreover, we verify that this overconvergent evaluation interpolates the classical evaluations explained in the first lecture. Another consequence of this method is the control of the growth of the distribution obtained. The $p$-adic $L$-functions are, as usual, the Mellin transform of these distributions.

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