April 17, 2023 to July 14, 2023
Institut Henri Poincaré, Paris
Europe/Paris timezone

Christian Blohmann : The differentiation of higher elastic diffeological groupoids

Jul 5, 2023, 11:45 AM
Amphitheater Darboux (Institut Henri Poincaré, Paris)

Amphitheater Darboux

Institut Henri Poincaré, Paris

11, rue Pierre et Marie Curie 75005 Paris


First, I will review the notion of elastic diffeological spaces, on which there is a natural Cartan calculus. I will define diffeological Lie algebroids, show how they arise from elastic diffeological groupoids, and give their dual description as ringed diffeological spaces with a homological vector field. Then I will explain how to generalize this construction to higher diffeological groupoids, which yields a simple universal formula given by the coend of a cosimplicial-simplicial object in ringed diffeological spaces with a homological vector field. The project is motivated by geometric deformation theory, and is joint work with Lory Kadiyan.

Presentation materials

There are no materials yet.