NRU HSE
Symplectic geometry
Wednesdays, Saturdays, 16:20-17:40, room 306
Announcement and literature
Slides:
- Lecture 1: Symplectic manifolds (September 4, 2021).
- Lecture 2: Moser's isotopy lemma and topology (September 8, 2021).
- Lecture 3: Moser's isotopy lemma and diffeomorphism flows
(September 11, 2021).
- Lecture 4: Hamiltonian symplectomorphisms
(September 15, 2021).
- Lecture 5: Arnold's conjecture
(September 18, 2021).
- Lecture 6: Ekeland-Hofer Theorem deduced from the linear case
(September 22, 2021).
- Lecture 7: Ekeland-Hofer Theorem deduced from the linear case (again)
(September 25, 2021).
- Lecture 8: Ekeland-Hofer Theorem: the linear case deduced from non-squeezing
(September 29, 2021).
- Lecture 9: pseudo-holomorphic curves and calibrations.
(October 2, 2021).
- Lecture 10: The Proof of Gromov Non-Squeezing Theorem.
(October 6, 2021).
- Lecture 11: The Proof of Gromov Non-Squeezing Theorem (again)
(October 9, 2021).
- Lecture 12: Foliations and holonomy.
(October 13, 2021).
- Lecture 13: Symplectic reduction
(October 16, 2021).
- Lecture 14: Kähler reduction
(October 20, 2021).
- Lecture 15: Geometric Invariant Theory
(October 23, 2021).
Handouts
Miscellanea: test problems, exam, etc.