TY - JOUR
T1 - HIGHER HIDA THEORY and p-ADIC L-FUNCTIONS for GSp4
AU - Loeffler, David
AU - Pilloni, Vincent
AU - Skinner, Christopher
AU - Zerbes, Sarah Livia
N1 - Funding Information:
Loeffler’s work was supported by a Royal Society University Research Fellowship (“L-functions and Iwasawa theory”). Skinner’s work was suppoted by the Simons Foundation (Simons Investigator Grant 376203). Zerbes’s work was supported by the European Research Council (ERC Consolidator Grant “Euler systems and the Birch–Swinnerton-Dyer conjecture”).
Publisher Copyright:
© 2022 Duke University Press. All rights reserved.
PY - 2022/12/1
Y1 - 2022/12/1
N2 - 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.
AB - 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.
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U2 - 10.1215/00127094-2021-0049
DO - 10.1215/00127094-2021-0049
M3 - Article
AN - SCOPUS:85122147544
SN - 0012-7094
VL - 170
SP - 4033
EP - 4121
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 18
ER -