Local Tate duality for syntomic cohomology in positive characteristic

Wednesday, 11 November 2026 at 15:35

A Number Theory, Algebra and Geometry Seminar

Event details

Let k be a local field of characteristic p>0. Using Dodd’s theorem of F-gauges, we define syntomic cohomology with coefficients over k, and prove that it satisfies local Tate duality. We also show that syntomic cohomology over the ring of integers of k, again with coefficients,  is Lagrangian with respect to the duality pairing. Time permitting, we will explain how, for p>2, these results recover Shatz’s duality and Milne’s orthogonality results for the cohomology of finite flat group schemes of p-power order over k.

Organiser

Mathematics and Statistics

Location

Harrison 170