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arxiv: 1502.03528 · v3 · pith:VRZ4ZUBOnew · submitted 2015-02-12 · 🧮 math.NT · math.RT

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

classification 🧮 math.NT math.RT
keywords localcasegan-gross-prasadconjectureconjecturescorrespondenceprovesymplectic-metaplectic
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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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