Algebraic Topology Seminar

Monday, October 28, 2019 at 4:30pm

Room : 2 - 131 182 memorial Drive, MIT Building 2, Cambridge, MA, 02142

Featured Speaker : Paolo Salvatore (Universitá di Roma Tor Vergata)

Title :  A Cellular decomposition of the Fulton Mac Pherson operad

Abstract : We construct a cellular decomposition of the Axelrod- Singer-Fulton-MacPherson compactification of the con- figuration spaces in the plane, that is compatible with the operad composition. Cells are indexed by trees with bi-coloured edges, and vertices are labelled by cells of the cacti operad. This answers positively a conjecture by Kontsevich and Soibelman.

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