This course is part of the module 10-MAT-MPDG2, together with the course "Kähler geometry" taught by Prof. Brinkschulte.
Symplectic Geometry is a version of differential geometry tailored for phase spaces of Hamiltonian systems. Instead of a measure of angle and length as in Riemannian geometry, the fundamental structure measures 2-dimensional "area" in an even-dimensional phase space.
This course aims at the modern developments in this fields since the seminal discoveries of non-squeezing and symplectic rigidity. It offers an introduction into the method of psequdoholomorphic curves.
Symplectic geometry is quite related to Kähler geometry. Thus it makes much sense to juxtapose both courses in one module.
- Trainer/in: Matthias Schwarz
Semester: WiSe 2021/22