November 8, 2024
Title: Instantaneous Hamiltonian diplaceability and arbitrary squeezability for critically negligible sets
Speaker: Yann Guggisberg
This talk will be about joint work with Fabian Ziltener in which we show that a compact n-rectifiable subset of R^{2n} with vanishing n-Hausdorff measure can be displaced from itself by a Hamiltonian diffeomorphism arbitrarily close to the identity. This has the consequence that such a set can be arbitrarily symplectically squeezed, i.e. embedded into any neighborhood of the origin in R^{2n}.