[geometry-ml:02950] MS seminar at Kavli IPMU -- Alexander Voronov (U of Minnesota) -- Apr 20, 2017

[Todor Milanov]

Dear all,

I would like to announce the following Mathematics and String theory seminar at Kavli IPMU.

Speaker: Alexander Voronov (University of Minnesota)
Date:	Thu, Apr 20, 2017, 15:30 - 17:00
Place:	Kavli IPMU, Seminar Room A

Title:	Homotopy Lie algebroids and bialgebroids

Abstract: Lie algebroids appear throughout geometry and mathematical physics and realize the idea of a family of Lie algebras parameterized by a smooth manifold. A well-known result of A. Vaintrob characterizes Lie algebroids and their morphisms in terms of homological vector fields on supermanifolds, which might be regarded as a version of derived geometry. This leads naturally to the notion of an L_infty-algebroid, which offers an alternative way to think of a family of L_infty-algebras over a smooth manifold as compared to K. Costello's notion of an L_infty space. The situation with Lie bialgebroids and their morphisms is more complicated, as they combine covariant and contravriant features. We approach them in terms of odd symplectic dg-manifolds, building on the work of D. Roytenberg. We extend them to the homotopy Lie case and introduce the notions of an $L_\infty$-bialgebroid and an $L_\infty$-morphism between them. This is a joint work with my student Denis Bashkirov.




-----------------------------

Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp