PhD Course in Padua (via zoom): Introduction to Floer Homology
Title of the course: “Introduction to Floer Homology”
Lecturer: Marco Mazzucchelli (CNRS & ENS Lyon)
Syllabus:
Lecture 1: Crash course in algebraic topology: singular homology and cohomology, DeRham cohomology.
Lecture 2: The Morse homology theorem.
Lecture 3: Variational principle for Hamiltonian periodic orbits, action spectrum, the Conley-Zehnder index.
Lecture 4: Construction of the Floer homology groups for aspherical manifolds I.
Lecture 5: Construction of the Floer homology groups for aspherical manifolds II, proof of the Arnold conjecture on the fixed points of generic Hamiltonian diffeomorphisms.
