**Tuesday 3:00-4:40 in Altgeld 343, and Wednesday 12-12:50 in Altgeld 347.**

**Overview of the course**

algebraic geometry to low dimensional topology. The primary goal of this course will be to thoroughly cover the basic concepts, examples and theorems

of symplectic geometry. We will discuss (among other things); symplectic linear algebra, symplectic manifolds, the Darboux theorem(s), Hamiltonian

dynamics, Hamiltonian group actions, moment maps and reduction. I also hope to survey some more advanced topics such as; symplectic capacities, Hofer's

geometry, and Gromov's theory of pseudo-holomorphic curves.

Homework Assignment 1, due Wed Sept 28.

**Prerequisites**

**Office Hours**

**
References**

Some other lecture notes availible online are those by Kai Cieliebak (Part A Part B), Robert Bryant and Eckhard Meinrenken.

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This page last modified
by Ely Kerman

Friday, 20-Jan-2005 13:12:53 EST

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*ekerman@math.uiuc.edu*