Symplectic geometry combines a broad spectrum of interrelated
disciplines lying in the mainstream of modern mathematics. The
SYMPLECTIC project is composed of several studies in symplectic
geometry and Hamiltonian dynamics on topics related to symplectic
embedding questions, the geometry of the group of Hamiltonian
diffeomorphisms, Lagrangian rigidity questions, and the theory of
symplectic measurements.
On top of developing new tools to approach questions in symplectic
geometry and Hamiltonian dynamics, this project aims at exploring and
establishing bidirectional connections between symplectic geometry and
other fields of mathematics such as convex geometry, the theory of
mathematical billiards, and asymptotic geometric analysis.
Acknowledgement: The SYMPLECTIC project is funded by an
ERC Starting Grant under the European Union’s Horizon 2020 research and
innovation programme / grant agreement n° 637386.
