Geometry, Topology and Dynamics Seminar
Brent Pym
University of Oxford
Meromorphic connections and the Stokes groupoids
Abstract: To any effective divisor on a smooth complex curve, one can associate, in a canonical way, a Lie groupoid. This groupoid is a complex analytic surface that serves as the natural domain for the parallel transport of meromorphic connections on the curve with poles bounded by the divisor. I will describe the local and global structure of these groupoids, and their application to some classical topics in the analysis of ODEs, particularly the "resummation" of divergent series solutions. This talk is based on joint work with Marco Gualtieri and Songhao Li.
We will be going for a seminar dinner. Email schapos@uic.edu if you'd like to join.
Monday March 7, 2016 at 3:00 PM in SEO 636