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Periods and harmonic analysis on spherical varieties

Periods and harmonic analysis on spherical varieties

Given a spherical variety X for a group G over a nonarchimedean local field k, the Plancherel decomposition for L 2 (X) should be related to "distinguished" Arthur parameters into a dual group closely related to that defined by Gaitsgory and Nadler.Motivated by this, we develop, under some assumptions on …