Periods and global invariants of automorphic representations

Joseph Bernstein; Andre Reznikov

doi:10.1016/j.jnt.2022.07.010

Periods and global invariants of automorphic representations

Joseph Bernstein, Andre Reznikov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider periods of automorphic representations of adele groups defined by integrals along Gelfand subgroups. We define natural maps between local components of such periods and construct corresponding global maps using automorphic L-functions. This leads to an introduction of a global invariant of an automorphic representation arising from two such periods. We compute this invariant in some cases.

Original language	English
Pages (from-to)	117-159
Number of pages	43
Journal	Journal of Number Theory
Volume	243
DOIs	https://doi.org/10.1016/j.jnt.2022.07.010
State	Published - Feb 2023

Bibliographical note

Funding Information:
The research was partially supported by the ERC FP7 grant 291612 , by the ISF grant 533/14 , and, during the visit to IAS, by the National Science Foundation under Grant No. DMS - 1638352 .

Publisher Copyright:
© 2022 Elsevier Inc.

Keywords

Automorphic representations
Co-invariants
L-functions
Periods

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10.1016/j.jnt.2022.07.010

Cite this

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Periods and global invariants of automorphic representations

Abstract

Bibliographical note

Keywords

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