Bordered algebras and the wrapped Fukaya category

Abstract: This talk will discuss an isomorphism between endomorphism algebras from the wrapped Fukaya category of a type of punctured surface, and a class of A-infinity algebras related to bordered knot Floer homology; see https://arxiv.org/abs/2501.06310 and https://arxiv.org/abs/2408.01564. After a brief outline of the constructions and algebraic methods used in the proof, this talk will focus on the model calculations with Fukaya categories that both motivate and help to verify this result.