Title: p-adic Gelfand-Kapranov-Zelevinsky systems
Speaker: Prof. Lei Fu (Tsinghua)
Time: 2019-1-16, 17:00-18:00
Place: 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.