EVENT DETAILS AND ABSTRACT

Title: Hamiltonian circle actions with minimal fixed sets
Speaker: Professor Susan Tolman
Speaker Info: University of Illinois
Brief Description:
Special Note:
Abstract:

The purpose of this talk is to show that there are very few "extremely simple" symplectic manifolds with Hamiltonian actions. More precisely, consider a Hamiltonian circle action on a compact symplectic manifold (M,ω). It is easy to check that the sum of dim(F) + 2 over all fixed components F is greater than or equal to dim(M) + 2. We show that, in certain cases, equality implies that the manifold "looks like" one of a handful of standard examples. This can be viewed as a symplectic analog of the Petrie conjecture.