Symplectic Geometry

(80920)

2001-02, First semester




Final projects:

Shoham Shamir: Special cases of the Arnold conjecture. ps , pdf .




Instructor: Yael Karshon , Math building Room 314, Tel. 6584123, karshon@math.huji.ac.il , Office hours: by appointment.

Course meetings: Wednesdays 13:00-14:45, Sylverman 504.

Grading: Problem sets, participation, final essay and/or lecture.

Prerequisites: Manifolds and differential forms (e.g., from Differential Topology, by V. Guillemin and A. Pollack).

Main source: Ana Cannas da Silva, Lectures on Symplectic Geometry.

Other recommended sources:
D. McDuff and D. Salamon, Introduction to Symplectic Topology, Second Edition.
H. Hofer and E. Zehnder, Symplectic Invariants and Hamiltonian Dynamics.
V. I. Arnold, Mathematical Methods of Classical Mechanics.

Problem sets
Problem set 1: postscript, pdf. Due Oct.31, 2001.
Problem set 2: postscript, pdf. Due Nov.7, 2001.
Problem set 3: postscript, pdf.
Problem set 4: postscript, pdf.
Problem set 5: handed out in class. Due Jan.2, 2002.
Problem set 6: postscript, pdf. Due Jan.16, 2002.
Problem set 7: postscript, pdf. Due Jan.16, 2002. (Yes, it's due together with Problem set 6.)
Problem set 8: postscript, pdf. Due Jan.30, 2002.