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Lecture Schedule:

The Ch and HW numbers refer to Chapters and Homeworks in  Lectures on Symplectic Geometry, A. Cannas da Silva, Lecture Notes in Mathematics, Springer-Verlag, 2008. The material covered in class will sometimes be close in title and nature but different in content and approach. Some of the reading is from GP: Differential Topology, V. Guillemin and A. Pollack, Prentice-Hall, 1974.

Date	Lecture Material	Homework	Reading for next lecture
Week 1
Jan 25	Introduction + Symplectic linear algebra		Ch 12.1, 12.2
Week 2
Jan 30	Symplectic linear algebra	Problem Set 1, updated	GP: Chapter 4 - Section 2
Feb 1	Symplectic linear algebra		GP: Chapter 4 - Sections 3,4,5,6,7
Week 3
Feb 6	Symplectic manifolds: Ch 1		Ch 2
Feb 8	Examples of symplectic manifolds: Ch 2		Ch 12.3, Ch 15.1, 15.2
Week 4
Feb 13	Almost complex structures and Kahler manifolds: Ch 12.3	Problem Set 2	Ch 3
Feb 15	Lagrangian submanifolds and Symplectomorphisms: Ch 3		Ch 6
Week 5
Feb 20	No class - February break
Feb 22	Local forms: Ch 6
Week 6
Feb 27	Local forms: Ch 7
Mar 1	Local forms: Ch 8	Problem Set 3
Week 7
Mar 6	Local forms: Ch 9
Mar 8	Lie groups and smooth group actions
Week 8
Mar 13	Lie groups and smooth group actions
Mar 15	Lie groups and smooth group actions
Week 9
Mar 20	No Class
Mar 22	Symplectic and Hamiltonian actions	Problem Set 4, updated
Week 10
Mar 27	Hamiltonian torus actions
Mar 29	The Convexity Theorem: local convexity
Week 11
Apr 3	No Class - Spring Break
Apr 5	No Class - Spring Break
Week 12
Apr 10	The Convexity Theorem: Morse-Bott theory
Apr 12	The Convexity Theorem: fixed point sets
Week 13
Apr 17	The Convexity Theorem: global convexity
Apr 19	Toric actions: Ch 28
Week 14
Apr 24	Toric actions: Ch 29	Problem Set 5
Apr 26	J-holomorphic curves
Week 15
May 1	Presentation/Special topic
May 3	Presentation/Special topic
Week 16
May 8	Presentation/Special topic