The authors prove the local Plancherel density conjectures of Ben-Zvi-Sakellaridis-Venkatesh for the family of relative Langlands duality instances from their prior branching-problem work, with an application to global period conjectures.
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A survey paper presents the Geometric Langlands correspondence informally as an algebraic spectral theorem for automorphic sheaves and a blueprint for studying nonabelian symmetry.
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Generalised Whittaker models as instances of relative Langlands duality II: Plancherel density and global periods
The authors prove the local Plancherel density conjectures of Ben-Zvi-Sakellaridis-Venkatesh for the family of relative Langlands duality instances from their prior branching-problem work, with an application to global period conjectures.
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What is the Geometric Langlands Correspondence about?
A survey paper presents the Geometric Langlands correspondence informally as an algebraic spectral theorem for automorphic sheaves and a blueprint for studying nonabelian symmetry.