A symplectic look at the Fargues-Fontaine curve

Date: 2020-10-15

Time: 14:00 - 15:00

Zoom link: https://kva-se.zoom.us/j/9217561880

Yanki Lekili

I will explain how to introduce a Frobenius twist in the construction of Fukaya category by equipping the underlying symplectic manifold with a locally constant sheaf of rings. When the fiber of this sheaf of rings is perfectoid of characteristic p, it is possible to specialize the Novikov parameter t = 1, and the Lagrangians in the resulting category can be matched with vector bundles on the equal-characteristic-version of the Fargues-Fontaine curve.

Don’t worry, it is just a story about triangles on a torus. The preprint is on arXiv and is probably more worthy of your time than this talk.

Joint work with David Treumann.