From automorphic forms to Kloosterman sheaves

Mardi 29 juin 2010 16:00-17:00 - Yun Zhiwei - MIT

Résumé : We will construct generalized Kloosterman sheaves with any reductive group as their structure group. In particular, these give examples of exponential sums whose equidistribution laws are controlled by exceptional groups such as E_7, E_8, F_4, G_2. The starting point is an automorphic representation discovered by Gross. This gives an example of geometric Langlands correspondence with wild ramifications. Joint work with J.Heinloth and B-C.Ngo.

Lieu : bât. 425 - 113-115

From automorphic forms to Kloosterman sheaves  Version PDF
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