Instructor: Ivo Terek.
Syllabus: The minicourse will be roughly divided in three parts. Recordings are available below.
- Symplectic Linear Algebra (1 week): Lecture 1, Lecture 2.
- Symplectic Manifolds (2 weeks): Lecture 3, Lecture 4, Lecture 5, Lecture 6.
- Hamiltonian Actions (2 weeks): Lecture 7, Lecture 8, Lecture 9, Lecture 10.
Schedule: We will have two lectures per week, on Tuesdays from 5 p.m. to 6 p.m. and on Wednesdays from 3 p.m. to 4 p.m., starting on June 15th, in room MW154.
Main reference: Lecture notes written by Ivo specifically for this course.
Extra references: There are many references listed on the notes. The ones below besides the main lecture notes are the ones I particularly like and could find legally available either on arXiv.org or on the author’s webpages.
- Cannas da Silva, A.; Symplectic Geometry – overview written for the Handbook of Differential Geometry, vol. 2, 2004.
- Meinrenken, E.; Symplectic Geometry, Lecture Notes, University of Toronto, 2000.
- Holm, D. D.; Geometric Mechanics – Part I: Dynamics and Symmetry, 2nd edition, Imperial College Press, 2011.