Operads, graph complexes and the rational homotopy of embedding spaces


L'exposé aura lieu en visio conférence sur BigBlueButton (lien d'accès à la visio-conférence donné dans le résumé)
Benoit Fresse
Vendredi, 15 Mai, 2020 - 14:00 - 15:00

I will report on joint works with Victor Turchin and Thomas Willwacher on the applications of operads to the study of the rational homotopy type of embedding spaces.

In a first part, I will explain a graph complex description of the rational homotopy of mapping spaces of En-operads.
Results on the Goodwillie-Weiss calculus implies that this computation gives a description of a delooping of embedding spaces of Euclidean spaces.
Eventually, I will survey an ongoing project where we study operadic models of the rational homotopy of a generalization of these embedding spaces for the open subsets of Euclidean spaces with a bounded complement.

Lien pour accéder à la visio conférence sur BigBlueButton: https://mathconf.univ-lille.fr/b/ale-rua-fjz