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Home » NGM Research Seminar: Paley-Wiener theorems for p-adic spherical varieties.

Seminar

NGM Research Seminar: Paley-Wiener theorems for p-adic spherical varieties. October 16, 2014 (02:00 PM PDT - 02:50 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Yiannis Sakellaridis (Rutgers University)
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For a reductive p-adic group H, the description of the Bernstein center of the category of smooth H-representations is equivalent to the description of H x H -endomorphisms of the space of smooth, compactly supported functions on H, and the Bernstein decomposition corresponds to an H x H-equivariant decomposition of this space. The goal of this talk is to generalize this decomposition when H is replaced by a spherical variety X satisfying some strong assumptions (which cover all symmetric cases). In parallel, we will discuss the spectral transform of the space of Harish-Chandra Schwartz functions on X, generalizing Harish-Chandra's description for X=H. This is joint work with Patrick Delorme and Pascale Harinck.

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