arXiv:1502.03528 Abstract | arXiv Analytics

arXiv:1502.03528 [math.NT]Abstract References Reviews Resources

The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case

Published 2015-02-12Version 1

We prove the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case under some assumptions. This is the last case of the local Gan-Gross-Prasad conjectures. We also prove two of Prasad's conjectures on the local theta correspondence in the almost equal rank case.

Comments: 82 pages. arXiv admin note: text overlap with arXiv:1409.6824 by other authors

Categories: math.NT, math.RT

Keywords: local gan-gross-prasad conjecture, local theta correspondence, symplectic-metaplectic case, equal rank case, prasads conjectures

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