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

Hiraku Atobe

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arXiv · 1502.03528

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

Hiraku Atobe

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Abstract

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.

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Hiraku Atobe. 2017-02-19. The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case. https://arxiv.org/abs/1502.03528

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