3:30 p.m., Friday
Pennsylvania State University
Poisson geometry and some applications
The classical Poisson bracket was introduced by Poisson in 1809,
which played a fundamental role in classical mechanics.
The first nontrivial degenerate Poisson structure
was discovered by Lie more than a century ago.
The notion of Poisson manifolds in modern language
was first introduced by Lichnerowicz in 1977.
The subject of Poisson geometry has gone through rapid development
in the past two decades due to its connection with
physics and other areas of mathematics such as
integrable systems, quantum groups and quantization.
In this talk, I will give a brief
survey of its recent development and particularly
its application in quantization of dynamical r-matrices,
which was rooted in conformal field theory.