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

Dimitry Roytenberg : Equivalences of dg-manifolds in higher Lie theory.

Jun 26, 2023, 11:00 AM
Amphitheater Darboux (Institut Henri Poincaré, Paris)

Amphitheater Darboux

Institut Henri Poincaré, Paris

11, rue Pierre et Marie Curie 75005 Paris


According to an insight of Pavol Ševera's, integrating a dg-manifold amounts to representing its homotopy type. This leads to a natural definition of a weak equivalence of dg-manifolds. I will present a conjecture characterizing these weak equivalences in terms of data associated to the dg-manifold itself (i.e. without going to the integration), and sketch a proof in the transitive case. Time permitting, I will also discuss fibrations.

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