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arXiv:1004.5323 [math.RT]AbstractReferencesReviewsResources

Geometrization of Trace Formulas

Edward Frenkel, Ngo Bao Chau

Published 2010-04-29, updated 2011-04-05Version 2

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.

Comments: 62 pages; conjectural Atiyah-Bott-Lefschetz fixed point formula for stacks is elucidated. To appear in Bulletin of Mathematical Sciences, Springer-Verlag
Categories: math.RT, math.AG, math.NT
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