Geometry of Maurer-Cartan Elements on Complex Manifolds

GAP Seminar

Meeting Details

For more information about this meeting, contact Mathieu Stiénon, Nigel Higson, Ping Xu.

Speaker: Mathieu Stienon, Penn State University

Abstract: We consider the solutions of a Maurer-Cartan equation on complex manifolds, which we call extended Poisson structures as they generalize holomorphic Poisson structures. A canonical Lie algebroid is associated to each Maurer-Cartan element. We study the geometry underlying these Maurer-Cartan elements in the light of Lie algebroid theory. In particular, we extend Lichnerowicz-Poisson cohomology and Koszul-Brylinski homology to the realm of extended Poisson manifolds


Room Reservation Information

Room Number: 106 McAllister

Date: 04/17/2012

Time: 2:30pm - 3:30pm