Time and place: Thursdays, 1.10pm-2:25pm, in Math 520.
| Date | Topics | Video link | Lecture notes |
| 09/08 | Overview: Floer theory, Fukaya categories, HMS | Lecture 1 | Jo, Luis (missing start) |
| 09/15 | Lagrangian Floer cohomology: definition, d^2 = 0 | Lecture 2 | Luis, Jo |
| 09/22 | Lagrangian Floer cohomology: invariance, grading, HF(L,L) | Lecture 3 | Luis |
| 09/29 | Products and A∞ structure | Lecture 4 | Luis, Jo |
| 10/06 | Fukaya category; examples: cylinder and T^2 | Lecture 5 | Luis |
| 10/13 | Twisted complexes; split-generators for T^2; introduction to wrapped Floer theory | Lecture 6 | Luis |
| 10/20 | Wrapped Fukaya category; HMS for the cylinder; FS(C*, z+1/z) and HMS for CP^1. | Lecture 7 | Luis |
| 10/27 | Compactification, deformation and superpotentials; m_0 obstruction; example: CP^1. | Lecture 8 | Luis |
| 11/03 | Recap: LG models, Fukaya-Seidel category, matrix factorizations, and HMS for toric Fanos. | Lecture 9 | Luis |
| 11/10 | No lecture: HMS workshop at the IAS | ||
| 11/17 | The pair of pants. | Lecture 10 (no sound) | Luis |
| 11/24 | Thanksgiving -- no lecture | ||
| 12/01 | Towards HMS for higher dimensional pants, hypersurfaces in (C*)^n and their complements. | Lecture 11 | Luis |
| 12/08 | Fukaya categories of toric LG models, HMS for hypersurfaces in (C*)^n and toric varieties. | Lecture 12 | Luis |
You can also watch the videos as a YouTube playlist
Further resources:
Auroux, A beginners' introduction to Fukaya categories
Sheridan, Notes from a mini-course on the Fukaya category (Jussieu, summer 2016)
Auroux, Notes from a topics course on HMS (2009, Berkeley)