The book is written by A.Katok and B.Hasselblatt and is published by Cambridge University Press. It is currently available in the paperback edition. The following parts constitute an essential background: Chapter 1.
At the very least the participants should be familiar with definitions and statements of results from these parts and understand the principal examples.
I am planning to use some other parts of the book as a text.
I am also planning to prepare extra hanouts from articles and preprints.