Speaker: Alexander Goncharov (Yale)

Title: Spectral description of non-commutative local systems on surfaces

Abstract: I will explain a cluster description of moduli spaces of R-vector bundles with flat connections over topological surfaces, where R is a non-commutative field. Examples include moduli spaces of Stokes data, which appear in the study ​​of differential equations with irregular singularities on Riemann surfaces. This is a joint work with Maxim Kontsevich.