PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:A generalization of Drinfeld's classification of Poisson homogeneous spaces of Poisson Lie groups
Seminar:GAP Seminar
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:MB106
Date:01 / 25 / 2011
Time:02:30pm - 03:30pm