# Automorphic p-adic L-functions and regulators

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

## Mini-course 1: Lecture 1 (Critical L-values)

16 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

Andrei Jorza (University of Notre Dame)

### Description

We recall general conjectures about the existence of $p$-adic $L$-functions attached to motives and automorphic representations. Then the lecture is devoted to the study of the critical values of the complex $L$-function of cuspidal automorphic representations of $\mathrm{GL}(2n)$ admitting a Shalika model. In particular we describe such $L$-values in terms of classical evaluations constructed using the cohomology of the corresponding locally symmetric space and so-called automorphic cycles.

### Presentation Materials

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