turkmath.org

 I will present an overview of what has become “Symplectic Mechanics” since the work of J.-L. Lagrange at the beginning of the 19th century. I'll focus on a few themes, symmetries and the Moment Map, I will comment the lack of equivariance which introduces the symplectic cohomology. I will discuss some main theorems: on elementary systems and coadjoint orbits, the Noether-Souriau theorem and also the theorem of center of mass in Galilean mechanics. I will try to show how symplectic geometry constitutes a perfect framework for the study of classical, conservative mechanics. If I have time, I will say a few words about geometric quantization and recent advances in symplectic diffeology.

Link to the seminar is:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1616764870455?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d