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| FIELD | Math:Topology |
|---|---|
| DATE | February 04 (Fri), 2022 |
| TIME | 15:00-16:00 |
| PLACE | Online |
| SPEAKER | Orita, Ryuma |
| HOST | Choa, Dongwook |
| INSTITUTE | Niigata University |
| TITLE | [GS_M_Topo]A Hierarchy of Rigid Subsets of Symplectic Manifolds |
| ABSTRACT | In this talk, we discuss a hierarchy of intersection rigidity properties of subsets of symplectic manifolds. We introduce the notion of pseudoheaviness of closed subsets of symplectic manifolds and prove the existence of pseudoheavy fibers of moment maps. In particular, we generalize Entov and Polterovich’s theorem, which ensures the existence of non-displaceable fibers. As its application, we provide a partial answer to a problem posed by them, which asks the existence of heavy fibers. |
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