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Meromorphic connections and the Stokes groupoids

Le : 13/01/2015 15h30
Par : Brent Pym (Université d'Oxford, R-U)
Lieu : I001
Lien web :
Résumé : In joint work with Marco Gualtieri and Songhao Li, we construct Lie groupoids that serve as the universal domains for the parallel transport of meromorphic connections on Riemann surfaces. The parallel transport so defined is always holomorphic, even in the neighbourhood of an irregular singularity. Moreover, its Taylor expansion at the singular points can be obtained by direct algebraic manipulations of the asymptotic expansion of a fundamental solution, whether or not the latter converges. I will outline the construction of these groupoids and some applications.