Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
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. |
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