A Fourier transform for Banach–Colmez spaces

Abstract: Motivated by Fargues' conjecture and constructions in geometric Langlands I present the construction of a Fourier transform for Banach-Colmez spaces associated to certain "flat coherent sheaves" on relative Fargues-Fontaine curves, and discuss it in first examples. This is joint work in progress with A.-C. Le Bras.

algebraic geometrynumber theory

Audience: researchers in the topic

Séminaire de géométrie arithmétique et motivique (Paris Nord)