Tuesday December 1st, 2020 | |
| Time: | 4:30 PM - 5:30 PM |
| Title: | Gap Theorem Results in Yang--Mills Theory |
| Speaker: | Casey Kelleher, Princeton University |
| Location: | Online |
| Abstract: | |
| We discuss results concerning the space of Yang--Mills connections on vector bundles over compact 4 dimensional Riemannian manifolds. In particular, we discuss a conformally invariant gap theorem for Yang-Mills connections obtained by exploiting an associated Yamabe-type problem. We also discuss a bound for the index in terms of its energy which is conformally invariant, which captures the sharp growth rate. This is joint work with M. Gursky and J. Streets. | |