Integrability of singular foliations

Abstract: In this talk, I will introduce derived foliations (in the algebraic and complex analytic settings), a general notion of foliations for which leaves are allowed to be singular subvarieties. I will explain how these can be globally integrated by contructing a monodromy and a holonomy groupoid. When the derived foliation is algebraic I'll explain how a Riemann-Hilbert correspondence can be used in order to describe (part of) the holonomy using purely algebraic constructions. Joint with G. Vezzosi.

Mathematics

Audience: researchers in the topic

Geometry Seminar - University of Florence

Series comments: If you are interested in attending, please send a message to daniele.angella@unifi.it or francesco.pediconi@unifi.it.