Higher Hida theory and p-adic L-functions for GSp(4)
Number Theory
2022-01-31 v5
Abstract
We use the "higher Hida theory" recently introduced by the second author to p-adically interpolate periods of non-holomorphic automorphic forms for GSp(4), contributing to coherent cohomology of Siegel threefolds in positive degrees. We apply this new method to construct p-adic L-functions associated to the degree 4 (spin) L-function of automorphic representations of GSp(4), and the degree 8 L-function of GSp(4) x GL(2).
Cite
@article{arxiv.1905.08779,
title = {Higher Hida theory and p-adic L-functions for GSp(4)},
author = {David Loeffler and Vincent Pilloni and Christopher Skinner and Sarah Livia Zerbes},
journal= {arXiv preprint arXiv:1905.08779},
year = {2022}
}
Comments
Final version, now published in "Duke Math Journal"