Special Session 69: New developments in symplectic dynamics

Spectrally-large scale geometry and symplectic squeezing in cotangent bundle of torus

Qi Feng
University of Science and Technology of China
Peoples Rep of China
Co-Author(s):    Jun Zhang
Abstract:
This talk covers two separate topics. One, we identify a class of closed Riemannian manifolds for which there exists a rank-$\infty$ quasi-flat in the metric space of the Hamiltonian deformations of a fiber in the unit codisk bundle with respect to the Lagrangian spectral norm. Two, we prove that for $n\geq 2$ any subbundle of $T^* T^n$ with bounded fibers symplectically embeds into a trivial subbundle where the fiber is an irrational cylinder.