After successful completion of the course, students are able to explain the fundamental concepts of the symplectic geometry (and symplectic capacities) and to apply the methods they have learned during the course.
Introduction to symplectic geometry (following the books "Lectures on Symplectic Geometry" by Ana Cannas da Silva, and "Symplectic Invariants and Hamiltonian Dynamics" by Helmut Hofer and Eduard Zehnder), theorem of Darboux, symplectic capacities, Gromov's non-squeezing theorem, Viterbo's conjecture.
Lecture
Organisational meeting (incl. fixing of the time of the lecture) in the first lecture on 05.03.2024, at 13:00, in the meeting room in Freihaus 7. floor, green part.
If you will not be able to attend the first meeting, please send me an e-mail regarding your restrictions regarding the schedule of the lecture. I will try to take them into account when fixing the time.
The lecture takes place every Thursday, 14:00-16:00, in the meeting room in Freihaus 7. floor, green part. The first lecture is on 7.3.2024.
oral exam
Not necessary
Basic knowledge of analysis and linear algebra, analysis on (smooth) manifolds.
