Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo

p-adic Gelfand-Kapranov-Zelevinsky systems

by Lei Fu (Yau Mathematical Sciences Center, Tsinghua University)

Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane


Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette

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.

Organized by

Ahmed Abbes

Your browser is out of date!

Update your browser to view this website correctly. Update my browser now