Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
| Title: | p-adic Gelfand-Kapranov-Zelevinsky systems |
| Speaker: | p-adic Gelfand-Kapranov-Zelevinsky systems (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. |
| Attachment: |
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