Posted in

Speaker:

Silvia Sabatini
Affiliation:

Instituto Superior Técnico, Lisbon
Date:

Wed, 2013-11-27 10:30 - 12:00
Location:

MPIM Lecture Hall
Parent event:

Higher Differential Geometry Seminar In this talk I will discuss some problems related to the classification of some equivariant topological invariants of compact symplectic manifolds with a symplectic circle action. In particular I will present some recent results involving the Chern numbers of the manifold, and show how these can be used to:

(a) classify the equivariant cohomology ring and Chern classes when the action is Hamiltonian and has minimal number of fixed points (joint work with L. Godinho, arXiv:1206.3195 [math.SG]) and

(b) give a lower bound on the number of fixed points when the action is not Hamiltonian and the first Chern class of the manifold vanishes (joint work with A. Pelayo, arXiv:1307.6766 [math.SG]).

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |