Special topics in Geometry: Group actions on ManifoldsFall 2005, Courant Institute |
Announcement: December 13 special class will be held at WWH 613, 15:00--19:00 (notice the change in starting time)
Lecturer: Liat Kessler
Meetings: Mondays 9:30--11:20 WWH 813
Credit: Seminar representations
Required background: Fundamental Concepts in Topology and Differential Geometry.
Text: Symplectic techniques in physics, V. Guillemin & S. Sternberg, Cambridge University Press, 1984
Recommended texts:
We will define group actions on manifolds, and discuss the basic concepts and examples. We will then restrict our attention to group actions on symplectic manifolds (a short introduction to symplectic manifolds will be given). We will define and study Hamiltonian torus actions, and prove the convexity theorem; for the proof we will learn some Morse Theory. We will also discuss Delzant's classification.