Publication: Chiral Principal Series Categories
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2014-06-06
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Raskin, Samuel David. 2014. Chiral Principal Series Categories. Doctoral dissertation, Harvard University.
Abstract
This thesis begins a study of principal series categories in geometric representation theory using the Beilinson-Drinfeld theory of chiral algebras. We study Whittaker objects in the unramified principal series category. This provides an alternative approach to the Arkhipov-Bezrukavnikov theory of Iwahori-Whittaker sheaves that exploits the geometry of the Feigin-Frenkel semi-infinite flag manifold.
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Mathematics, Algebra, Algebraic geometry, Automorphic forms, Geometric Langlands, Representation theory
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