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Relative Langlands duality for linear periods
We prove relative Langlands duality for $X = GL_{p+q}/(GL_p \times GL_q)$. These symmetric spaces arise in the setting of the linear period of Friedberg-Jacquet when $p=q$, and exhibit non-tempered behavior when $q>p+1$. Via the real-symmetric correspondence, we establish a derived Satake equivalenc
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