XXXV Workshop on Geometric Methods in Physics 26.06-2.07.2016

Sergei Merkulov

Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves

We discuss a new and surprisingly strong link between two previously unrelated theories: the theory of moduli spaces of curves (which, according to Penner, is controlled by the ribbon graph complex) and the homotopy theory of operads (controlled by ordinary graph complexes with no ribbon structure, introduced first by Kontsevich). The talk is based on a joint work with Thomas Willwacher.

Event sponsored by:
National Science Foundation          Belgian Science Policy Office          University of Bialystok

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