|
Status |
Confirmed |
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Seminar Series |
MATH-IHES |
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Subjects |
math |
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Date |
Wednesday 16 January 2019 |
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Time |
10:00 |
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Institute |
IHES |
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Seminar Room |
Amphithéâtre Léon Motchane |
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Speaker's Last Name |
Fu |
|
Speaker's First Name |
Lei |
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Speaker's Email Address |
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Speaker's Institution |
Yau Mathematical Sciences Center, Tsinghua University |
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Title |
P-adic Gelfand-Kapranov-Zelevinsky systems |
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Abstract |
Using Dwork’s trace formula, we express the exponential sum associated to a Laurent polynomial as the trace of a chain map on a twisted de Rham complex for the torus over the p-adic field. Treating the coefficients of the polynomial as parameters, we obtain the p-adic Gelfand-Kapranov-Zelevinsky (GKZ) system, which is a complex of $D^\dagger$-modules with Frobenius structure. |
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arXiv Preprint Number |
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Comments |
Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo |
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Attachments |
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