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On Quadratic Distinction of Automorphic Sheaves

On Quadratic Distinction of Automorphic Sheaves

We prove a geometric version of a classical result on the characterization of an irreducible cuspidal automorphic representation of being the base change of a stable cuspidal representation of the quasi-split unitary group associated to the quadratic extension E/F, via the nonvanishing of certain period integrals, called being distinguished. We …