A generalization of Drinfeld's classification of Poisson homogeneous spaces of Poisson Lie groups

GAP Seminar

Meeting Details

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

Speaker: Madeleine Jotz, EPF Lausanne

Abstract: A theorem of Drinfeld classifies the Poisson homogeneous spaces of a Poisson Lie group in terms of a special class of Dirac subspaces of its Lie bialgebra. Before presenting this theorem, I will recall the notions of Poisson Lie groups, their Lie bialgebra and homogeneous spaces. Then, I will explain why it appears natural to consider ``Dirac'' homogeneous spaces of a Poisson Lie group, and even Dirac homogeneous spaces of a ``Dirac Lie group''. The theorem of Drinfeld generalizes in a natural manner to a classification of the homogeneous spaces in this setting.

Room Reservation Information

Room Number: 106 McAllister

Date: 01/25/2011

Time: 2:30pm - 3:30pm