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arXiv:1308.6531 [math.RT]AbstractReferencesReviewsResources

Geometric Waldspurger periods II

Sergey Lysenko

Published 2013-08-29, updated 2016-03-03Version 2

In this paper we extend the calculation of the geometric Waldspurger periods from our paper math/0510110 to the case of ramified coverings. We give some applications to the study of Whittaker coefficients of the theta-lifting of automorphic sheaves from PGL_2 to the metaplectic group Mp_2, they agree with our conjectures from arXiv:1211.1596. On the way of the proof, we get some new automorphic sheaves for GL_2 in the ramified setting. We also formulate stronger conjectures about Waldspurger periods and geometric theta-lifting for the dual pair (SL_2, Mp_2).

Comments: 57 pages, introduction rewritten
Categories: math.RT
Subjects: 11R39, 14H60
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