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 Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
 Speaker: 扶 磊 教授，清华大学 Inviter: Title: p-adic Gelfand-Kapranov -Zelevinsky systems Time & Venue: 2019.1.16 17:00-18:00 N913 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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