Heaviness and SH-visibility

Abstract: Consider a compact subset K of a closed symplectic manifold M. We say that K is SH-visible if its relative symplectic cohomology does not vanish over the Novikov field. With Cheuk Yu Mak and Yuhan Sun, we recently proved that SH-visibility is equivalent to K being heavy as defined by Entov-Polterovich. l will recall these notions and explain the proof. If time permits I will also discuss some results concerning superheaviness, including an alternative characterization of homogenized spectral invariants.