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arXiv:1312.2898 [math.NT]AbstractReferencesReviewsResources

Periods and global invariants of automorphic representations

Joseph Bernstein, Andre Reznikov

Published 2013-12-10, updated 2014-09-23Version 2

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.

Comments: Switched to the language of co-invariants. Change of title
Categories: math.NT, math.RT
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