Samuel Raskin: Spectral decomposition of the principal series category

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We will discuss the problem of Langlands duality for the principal series category (alias: D-modules on the semi-infinite flag variety). In particular, we will explain how to relate Whittaker invariants to local systems for the Langlands dual group. This work can be understood as a chiralization of the Arkhipov-Bezrukavnikov theory.

Recording during the thematic meeting: «Geometric Langlands and Derived Algeabraic Geometry » the April 04, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)

Film maker: Guillaume Hennenfent