A generalization of Drinfeld's classification of Poisson homogeneous spaces of Poisson Lie groups
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
Time: 2:30pm - 3:30pm