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Hodge theory of Kloosterman connections

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Javier Fresán
École Polytechnique, Palaiseau
Tue, 2018-03-20 14:00 - 15:00
MPIM Lecture Hall

Recently, Broadhurst studied the L-functions associated with symmetric powers of Kloosterman sums and conjectured a functional equation. We show how the irregular Hodge filtration allows one to “explain” the gamma factors at infinity in a similar way to Serre's recipe for usual motives (ongoing joint work with Claude Sabbah and Jeng-Daw Yu).  

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