An invitation to symplectic geometry and classical mechanics.

Abstract: In this talk, I will introduce some notions and results on symplectic geometry and their applications to classical mechanics. Although omitting technical proofs, I will explain the main ideas and results about this theory and its applications. In detail, I will comment on the definition of symplectic manifolds, Hamiltonian vector fields and functions, Poisson brackets, momentum maps, and the Marsden-Weinstein theorem. More physically, I will explain how these structures explain the Hamilton equations of a classical mechanical system and how they are used to study systems with symmetries.

mathematical physicssymplectic geometry

Audience: undergraduates

BIM@Wisla Online Seminar

Series comments: Before the pandemic changed our lives Baltic Institute of Mathematics gathered researchers and students to discuss the geometry of PDEs and beyond. We used to meet in Wisła (Poland), a beautiful place surrounding by mountains. Despite the pandemic, we still gathering but online. Besides, we join our forces with the Institute of Mathematics of NAS of Ukraine to organize online seminars that mostly oriented to bachelor and master students. To apply please send an e-mail to office@baltinmat.eu or fill the registration form (See homepage).