P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2)
Number Theory
2021-07-02 v2
Abstract
We develop a (largely conjectural) theory of p-adic L-functions interpolating square roots of central L-values for automorphic forms on GSp(4) x GL(2) x GL(2), and a relation between these p-adic L-functions and families of Galois cohomology classes interpolating algebraic cycles. Our theory is a generalisation of the theory of "diagonal cycles" developed by Darmon and Rotger for the GL(2) triple product.
Cite
@article{arxiv.2011.15064,
title = {P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2)},
author = {David Loeffler and Sarah Livia Zerbes},
journal= {arXiv preprint arXiv:2011.15064},
year = {2021}
}
Comments
24 pages. v2: minor updates to references and acknowledgements