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Geometrization of Trace Formulas

Published 29 Apr 2010 in math.RT, math.AG, and math.NT | (1004.5323v2)

Abstract: Following our joint work arXiv:1003.4578 with Robert Langlands, we make the first steps toward developing geometric methods for analyzing trace formulas in the case of the function field of a curve defined over a finite field. We also suggest a conjectural framework of geometric trace formulas for curves defined over the complex field, which exploits the categorical version of the geometric Langlands correspondence.

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