HIGHER HIDA THEORY and p-ADIC L-FUNCTIONS for GSp4

David Loeffler, Vincent Pilloni, Christopher Skinner, Sarah Livia Zerbes

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We use the "higher Hida theory" recently introduced by the second author to p-adically interpolate periods of nonholomorphic automorphic forms for GSp4, 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 GSp4, and the degree-8 L-function of GSp4 xGL2.

Original languageEnglish (US)
Pages (from-to)4033-4121
Number of pages89
JournalDuke Mathematical Journal
Volume170
Issue number18
DOIs
StatePublished - Dec 1 2022

All Science Journal Classification (ASJC) codes

  • General Mathematics

Fingerprint

Dive into the research topics of 'HIGHER HIDA THEORY and p-ADIC L-FUNCTIONS for GSp4'. Together they form a unique fingerprint.

Cite this