Symplectic and Poisson geometry seminar
- Event Type
- Ceremony/Service
- Sponsor
- Department of Mathematics
- Location
- https://illinois.zoom.us/j/81927025233?pwd=c2FrZUVOV3YydFh4SngzdGorNWdmZz09
- Date
- Oct 30, 2023 3:00 pm
- Speaker
- Daniel Alvarez (University of Toronto)
- Contact
- Florian Zeiser
- Views
- 37
- Originating Calendar
- General Events - Department of Mathematics
Title: On the integration of Lie bialgebroids
Abstract: Lie bialgebroids are important objects in Lie theory, providing a convenient language to describe Poisson actions of Poisson-Lie groups, dynamical r-matrices and generalized Kahler structures. Lie bialgebroids are known to be the infinitesimal counterparts of double symplectic groupoids. Under mild natural conditions, I will describe how to use multiplicative Courant algebroids and differential forms of shift two in the Bott-Shulman-Stasheff complex of a Lie groupoid to construct double symplectic groupoids in most cases of interest.