QM Research Seminar: Gauged linear sigma model and infinitude of Hamiltonian periodic orbits

Speaker: Shaoyun Bai (Columbia University)


Abstract:

Take an irrational rotation of the two-sphere; it only has the north and south poles as its periodic points. However, Franks proved that for any area-preserving diffeomorphism of the two-sphere, if it has more than two fixed points, then it must have infinitely many periodic points. I will discuss a generalization with Guangbo Xu of this result to all compact toric manifolds, for which GLSM plays a surprising role.