Menu Fermer

Differential operators on Courant algebroids, Dorfman connections and the Atiyah class

Orateur : Panagiotis Batakidis
Établissement : Université de Tessalonique (Grèce)
Dates : 2024-06-06 – 2024-06-06
Heures : 14:00 – 14:00
Lieu : Salle 0-6

Résumé :
We start by describing a generalization of Roytenberg’s Courant-Dorfman algebra, which is the algebraic realization of a
Courant algebroid E, to an algebra of polydifferential operators on E.
We will then discuss Dorfman connections on E; It is a type of nonlinear connection whose Cartan calculus is shown to live naturally in the aforementioned algebra of operators. Time permitting we will
discuss the outlook towards the construction of an Atiyah class for
Manin pairs. This is joint work with Fani Petalidou.

Laisser un commentaire

Votre adresse e-mail ne sera pas publiée. Les champs obligatoires sont indiqués avec *