Mathematics Department Colloquium: Riemann-Hilbert correspondence and Fukaya category

Colloquium | November 1 | 4:10-5 p.m. | 60 Evans Hall

 Tatsuki Kuwagaki, IPMU

 Department of Mathematics

Riemann-Hilbert correspondence translates differential equations into some topological data. For irregular singularities, the topological data is called Stokes structures. Some years ago, D'Agnolo-Kashiwara proposed a formalism treating all the Stokes structures simultaneously and proved Riemann-Hilbert correspondence for irregular singularities. In this talk, I will talk about a modified version of this formalism and also discuss a relationship with Fukaya category.