Integration of Lie n-algebroids, or, how to solve Maurer-Cartan equations

Date/heure
28 janvier 2021
14:15 - 15:15

Oratrice ou orateur
Pavol Severa

Catégorie d'évènement
Séminaire Théorie de Lie, Géométrie et Analyse


Résumé

I will review the strategy of integration of Lie n-algebroids to Lie n-groupoids using the « path method » coming from Sullivan’s Rational Homotopy Theory. I will then explain how to solve the main analytic problem of this strategy, which is to show that the spaces of solutions of generalized Maurer-Cartan equations are actually manifolds. These results can be used to show that a « local integration » of Lie algebroids indeed produces local Lie n-groupods. Based on a joint work with Michal Å iraň.