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): Difference between revisions

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{{MeetingTalk
{{MeetingTalk
| speaker = Vitagliano Luca
| speaker = Luca Vitagliano
| title = Homotopy Lie Algebroids
| 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.
| 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.

Revision as of 16:41, 28 May 2013

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.