Vitagliano L. Homotopy Lie Algebroids, talk at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic (abstract)
Speaker: Luca Vitagliano
Title: Homotopy Lie Algebroids
Abstract:
Homotopy algebras are homotopy invariant algebraic structures. Recently, I noticed that they appear naturally in the homological theory of PDEs. In particular, there is a homotopy Lie algebroid canonically associated to a PDE. This motivated me to study homotopy Lie algebroids and their representations. In the talk I will show how certain natural constructions with Lie algebroid representations have analogues up to homotopy.