中科院数学与系统科学研究院

数学研究所

数论研讨班

报告人：   扶 磊 教授（清华大学）

题  目：p-adic Gelfand-Kapranov -Zelevinsky systems

时  间：2019.01.16（星期三），17:00-18:00

地  点：数学院南楼N913室

摘  要：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.