Spherical varieties and p-adic families of cohomology classes
Number Theory
2024-07-31 v3
Abstract
We prove a "twist-compatibility" result for p-adic families of cohomology classes associated to symmetric spaces. This shows that a single family of classes (lying in a finitely-generated Iwasawa module) interpolates classical cohomology classes of many different weights, including twists by Gr\"ossencharacters of possibly non-trivial infinity-type. This subsumes and generalises a number of prior results relating to Euler systems and p-adic L-functions, and we conclude with some novel applications to Euler systems for GSp(4), GSp(4) x GL(2), and GSp(4) x GL(2) x GL(2).
Keywords
Cite
@article{arxiv.2106.16082,
title = {Spherical varieties and p-adic families of cohomology classes},
author = {David Loeffler and Rob Rockwood and Sarah Livia Zerbes},
journal= {arXiv preprint arXiv:2106.16082},
year = {2024}
}
Comments
17 pages. To appear in "Elliptic curves and modular forms in arithmetic geometry - Celebrating Massimo Bertolini's 60th Birthday"