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Семинар отдела алгебры и отдела алгебраической геометрии (семинар И. Р. Шафаревича)
8 октября 2019 г. 15:00, г. Москва, МИАН, комн. 540 (ул. Губкина, 8)
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L-functions of symmetric power moments of Kloosterman sums
J. Fresán |
Количество просмотров: |
Эта страница: | 164 |
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Аннотация:
This talk will revolve around a
global family of L-functions built up by assembling symmetric power
moments of Kloosterman sums over finite fields. We prove that they
arise from potentially automorphic motives over the rational
numbers, and hence admit a meromorphic extension to the complex
plane which satisfies the expected functional equation. Although the
motives turn out to be "classical", the strategy consists in first
realising them as exponential motives and computing the Hodge
numbers by means of the irregular Hodge filtration. It is a joint
work with Claude Sabbah and Jeng-Daw Yu.
Язык доклада: английский
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