The topic in spring 2025 is Floer theory.
Time: Thursdays at 11:15am
Location: Vincent 215
Textbooks and lecture notes : Morse Theory and Floer Homology by Michèle Audin , Mihai Damian; Lectures on Floer Homology by Solomon
Beginner's Introduction to Fukaya Categories by Auroux
Spring 2025 schedule:
01/30 Recap of Morse theory
Speaker: Lauren
02/06 Floer Equation + Fredholm theory
Speaker: Robi + Lina
02/13 Solutions, Energy, Compactness, Asymptotics
Speaker: Shrivathsa
02/20 Linearization, Fredholm Property
Speaker: Adam
02/27 Fredholm, Transversality
Speaker: Anthony
03/06 Broken Trajectories and Gluing
Speaker: Yi
03/13 Spring break
03/27 Wrap up/Gluing
Speaker: Lauren
04/03 Lagrangian Floer Cohomology
Speaker: Anthony
04/10 Novikov coverings
Speaker: Robi
04/17 Operads, Higher products, A-infinity categories,
Speaker: Shrivathsa
04/24 Fukaya Categories
Speaker: Shrivathsa