These notes approximately transcribe a 15-week course on symplectic geometry I taught at UC
Berkeley in the Fall of 1997. The course at Berkeley was greatly inspired in content and style
by Victor Guillemin whose masterly teaching of beautiful courses on topics related to s-
plectic geometry at MIT I was lucky enough to experience as a graduate student. I am very
thankful to him! That course also borrowed from the 1997 Park City summer courses on symplectic
geometry and topology and from many talks and discussions of the symplectic geometry group at
MIT. Among the regular participants in the MIT - formal symplectic seminar 93-96 I would like
to acknowledge the contributions of Allen Knutson Chris Woodward David Metzler Eckhard
Meinrenken Elisa Prato Eugene Lerman Jonathan Weitsman Lisa Jeffrey Reyer Sjamaar Shaun
Martin Stephanie Singer Sue Tolman and last but not least Yael Karshon. Thanks to everyone
sitting in Math 242 in the Fall of 1997 for all the c- ments they made and especially to those
who wrote notes on the basis of which I was better able to reconstruct what went on: Alexandru
Scorpan Ben Davis David Martinez DonBarkauskas EzraMiller HenriqueBursztyn John-PeterLund
Laura De Marco Olga Radko Peter P? rib¿ ?k Pieter Collins Sarah Packman Stephen Bigelow
Susan Harrington Tolga Etgu ¿ and Yi Ma.
