# Automorphic p-adic L-functions and regulators

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

## On the construction of elements in the Iwasawa cohomology of Galois representations for GSp(2n)xGSp(2n)

15 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

Antonio Cauchi (Université Laval)

### Description

The study of arithmetic invariants associated to Galois representations has often relied on the construction of a special family of elements in their Galois cohomology groups. For instance, it has been a crucial ingredient in the work of Kato in the proof of special cases of the conjecture of Birch and Swinnerton-Dyer and the Iwasawa main conjecture for modular forms.

In this talk, we describe how to construct elements in the Iwasawa cohomology of Galois representations associated to a product of two cohomological cuspidal automorphic representations of the similitude symplectic group $\mathrm{GSp}_{2n}$, and, thus, p-adic L-functions using Perrin-Riou’s machinery. This construction generalises the one given by Lei-Loeffler-Zerbes when $n=1$.

### Presentation Materials

There are no materials yet.