## Symplectic Geometry

**Instructor: ** Joel Kamnitzer, jkamnitz@math.toronto.edu

**Lectures: **Tu 3-4:30pm AP 120,
Th 2-3:30 pm WI 524

**Office:** 6246 Bahen
416-978-3998

**Office Hours:** Mondays 3 - 4 pm, Wednesdays 3 - 4 pm

**Grading scheme:**

**Text:** Ana Cannas da Silva, Lectures on Symplectic Geometry

Other useful references:

** Syllabus:** (with sections from the text)

Basic definitions, examples, Hamiltonian vector fields, local theory (1-3, 6-9, 18)

Complex geometry, compatible triples, Kahler geometry, Hodge theory (12-17)

Group actions, moment maps, symplectic reduction, toric varieties (21-30)

** Homework: **

Homework 1, due Jan 22.

Homework 2, due Feb 12.

Homework 3, due Mar 12.

Howework 4, due Mar 31.

Take-home final, due Apr 9.