During the last two weeks I gave in the seminar series of our work group two talks about Symplectic Geometry and its relations to physics. The first part consists of a basic introduction to the language of Symplectic Geometry and fixes the used notation. Since I had only one talk for the introduction I refer to the given literature for further details.
The second part is dedicated to the applications and results of Sympletic Geometry to Physics. Most importantly we talked about Gromov's theorem from 1985 which can be interpreted as the mathematical analog of the uncertain principle of quantum mechanics
As always I have prepared a little handout of everything that I have presented. You can find it here. In case you find any mistake of do have a suggestion, don't hesitate to write me an email.