Literatur: (1) Michéle Audin, Mihai Damian: Morse theory and Floer homology, Springer Universitext
                  (2) John Milnor: Lectures on the h-cobordism theorem, Princeton University Press
                  (3) John Milnor: Morse theory, Princeton University Press



Talks (We follow the outline of Audin, Damian)

• Morse Functions: Definition, Existence and Abundance (1.1., 1.2.)
  
• The Morse Lemma (1.3., 1.4.)  Axel Rehfuß
  
• Gradients and Pseudo-Gradient (2.1.)   Luca Wulf
  
• Transversality of the Flow (Smale Condition) (2.2.) Tim Schüpferling
  
• Definition of the Morse Complex (3.1.), d º d = 0 (3.2., 3.3.)  Jakob Helf
  
• Unabhängigkeit der Homologie von den Daten (3.4.)  Leonard Richter-Matthies
• Änderung der Topologie der Subniveaumenge am kritischen Wert (2.1f) Marco Daeblitz
  

Applications

• Homology: Künneth Formula, Poincaré Duality, Euler Characteristic (4.1.-4.4.) (possibly two talks)
  
• Axiomatic properties of Morse Homology (4.5.-4.7.)  (possibly two talks)
  
• Applications (4.8.)
  
• Morse Homology is Cellular Homology (4.9.)