RTG Student Seminar: Fall 2019

In Fall 2019, I helped run the RTG (Research and Training Grant) Student Seminar. The topic was homological mirror symmetry; email me if you're curious about the schedule. I've compiled some notes though they are quite scattered and likely have many mistakes. Please let me know if you spot some errors.

• Partial notes on Denis Auroux's already great notes on Fukaya categories
• Notes on coherent sheaves
• Notes on twisted complexes and split generation. These are very messy, handwritten notes I used for a talk I gave. Most of it is in Auroux's notes so I don't think I'll tidy these.
• Notes on HMS for the cylinder
• Notes on HMS for P^1
• Nathan Chen gave an excellent talk on the SYZ conjecture and Hodge symmetries. One may request notes from him.
• Notes on the SYZ conjecture with a promising construction based on the Fourier-Mukai transform.

Some other good resources which we used during the semester:

• An introduction to Fukaya categories by Ivan Smith with some good examples in HMS.
• Notes by James Pascaleff
• Auroux's 2016 Eilenberg Lectures
• Polishchuk and Zaslow's paper on HMS of the elliptic curve

RTG Student Seminar: Spring 2020

In Spring 2020, I helped run the RTG Student Seminar on modular forms. Unfortunately, we do not have a compilation of notes, partially because of the COVID-19 disruption.