This is a tentative schedule for the Fall 2018 reading seminar on Floer homology. We will read Audin-Damian's book Morse theory and Floer homology.

Week | Topic | Sections | Speaker |

2 | Organizational meeting. Overview of Floer homology and this reading seminar. Brief introduction to symplectic geometry. | Excerpts | Lipshitz |

3 | Introduction to symplectic geometry, the Arnol'd conjecture | 5.1-5.4, 5.6, 6.1 | Jesse |

4 | Outline of the definition of Floer homology, proof of the Arnol'd conjecture | 5.5, 6.1-6.4, 12.1 | Mike |

5 | Compactness | 6.5, 6.6 | Mauricio |

6 | Maslov index | 7.1, 7.2, 7.3 | Keegan |

7 | Transversality | 8.1-8.9 | Shida |

8 | Gluing | 9.1-9.6 | Mauricio |

9 | Relation to Morse theory | 10.1-10.4 | Mike |

10 | Invariance of Floer homology and conclusion of the proof of the Arnol'd conjecture | 11.1-11.6 | Keegan |