题目: p-adic Gelfand-Kapranov-Zelevinsky systems

报告人: 扶磊 教授 (清华大学)

时间: 2019-01-16, 17:00-18:00, 

地点: 南楼 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.