Abstract: Gentle algebras are discrete models for Fukaya categories of punctured surfaces. How to deform them? We will start with one specific deformation, motivated by Seidel's relative Fukaya categories. We will classify the entire deformation theory of gentle algebras and prove that their Hochschild DGLA is formal. We will comment on deformed mirror symmetry and related work of BarmeierSchrollWang. On a technical level, this talk teaches us A∞deformations, L∞algebras, Kadeishvili constructions and Koszul duality. This work is part of my PhD thesis supervised by Raf Bocklandt.

LAGOON Webinar: https://sites.google.com/view/lagoonw...