| Abstract: |
| Biran proved that the full volume of a rational closed symplectic 4-manifold can be symplectically packed by any sufficiently large number of equally sized balls, a phenomenon known as packing stability. In my talk, I will explain how to extend this result to arbitrary compact symplectic 4-manifolds with smooth boundary. This is in contrast to a recent result of Cristofaro-Gardiner and Hind concerning the failure of packing stability in the case of non-smooth boundary. I will also explain how packing stability relates to the subleading asymptotics in the Weyl laws for ECH and PFH spectral invariants and to the simplicity/non-simplicity of groups of Hamiltonian diffeomorphisms/homeomorphisms. |
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