Topic & Schedule

We expect to cover the following topics during the workshop:

• Geometry of Liouville sectors

• Formalism of partially wrapped Fukaya categories 

• Structural results about them: wrapping exact sequence, stop removal, generation, sectorial descent… 

• Examples and applications

The main references for the workshop will be:

• S. Ganatra, J. Pardon, V. Shende,  Covariantly functorial wrapped Floer theory on Liouville sectors, Publications mathématiques de l’IHÉS 131 (2020), 73-200. ArXiv link: arXiv:1706.03152.

• S. Ganatra, J. Pardon, V. Shende,  Sectorial descent for wrapped Fukaya categories, Journal of the American Mathematical Society 37 (2024), 499-635. ArXiv link: arXiv:1809.03427.

In addition to that, we ask the participants to come prepared with a basic background in Floer theory and Fukaya categories, roughly at the level of Auroux’s notes A beginner’s introduction to Fukaya categories (arXiv:1301.7056)