Differential Geometry Working Seminar

Aidan Patterson, Department of Pure Mathematics, University of Waterloo

"Local Normal Forms for Hamiltonian Actions of Poisson-Lie Groups"

In this talk, we'll discuss what it means for a Poisson-Lie group to act Hamiltonianly on a symplectic manifold, the bridge between classical and Poisson-Lie Hamiltonian actions, and the analogue to the classical local normal form theory for Hamiltonian actions of Poisson-Lie groups on symplectic manifolds. We will restrict our attention to compact Poisson-Lie groups, where these constructions can be made explicit enough to provide a class of computable (in theory) examples. This talk is based on a project supervised by Dr. Harada and Dr. Lane at McMaster University.

Zoom Meeting: https://us02web.zoom.us/j/84677935521?pwd=WTdsV0ExQXNKRGUxclJvRWhTQXlUZz09