Structures supérieures
2019-01-21?Centre international de rencontres mathématiques (CIRM), Marseille/Luminy, France

TBA
Résumé: TBA

Séminaire de Topologie de Stockholm
2018-12-11SU+KTH, Stockholm, Suède

TBA
Résumé: TBA

Séminaire Géométrie & Topologie
2018-11-08Institut de Mathématiques de Jussieu-Paris Rive Gauche, Paris, France

TBA
Résumé: TBA

Derived Geometry and Higher Categorical Structures in Geometry and Physics
2018-06-20Fields Institute, Toronto, Canada
Diapositives Vidéo Article

Curved Koszul duality and factorization homology
Résumé: Koszul duality is a powerful tool that can be used to produce resolutions of algebras in many contexts. In this talk, I explain how to use curved Koszul duality for algebras over unital operads to compute the factorization homology of a closed manifold with values in the algebra of polynomial functions on a standard shifted symplectic space.

Colloque du département
2018-06-05University of Regina, Regina, Canada
Diapositives

Configuration Spaces and Graph Complexes
Résumé: Configuration spaces of points are classical objects in algebraic topology that appear in a wide range of applications. Despite their apparent simplicity, they remain intriguing. Kontsevich proved in the 90's that they are intimately related to "graph complexes", combinatorial objects that can be used to explicitly describe the homotopy type of configuration spaces in a Euclidean space. After recalling the above story, I will explain a conjecture of Lambrechts and Stanley about configuration spaces of simply connected closed manifolds. I will then give an idea of the proof of this conjecture, using graph complexes similar to the ones appearing in the works of Kontsevich. I will also describe recent generalizations: for manifolds with boundary, and for so-called "framed" configuration spaces (j/w Campos, Ducoulombier, Lambrechts, and Willwacher). Finally, I will talk about applications of these results.


Blog

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