Analysis in Dynamics

Course Code :2600WETAND
Study domain:Mathematics
Academic year:2019-2020
Semester:1st semester
Contact hours:30
Credits:3
Study load (hours):84
Contract restrictions: No contract restriction
Language of instruction:English
Exam period:exam in the 1st semester
Lecturer(s)Joseph Palmer

3. Course contents *

We will cover the first three chapters of "Morse theory and Floer homology" by Michèle Audin and Mihai Damian, and possibly some parts of the forth chapter. This means we will cover most of "Part I: Morse Theory" but we will not cover any part of the second part of the book, concerning Floer homology.

This includes:

1. Introduction to Morse functions

2. The Morse lemma

3. Pseudo-gradients

4. Definting the Morse complex

5. Applications of the Morse complex (Poincare duality, Euler characteristic, etc)