**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.