Explore the equivalence between partially wrapped Fukaya categories of symmetric products of marked disks and perfect derived categories of higher Auslander algebras of type A in this 1-hour 3-minute lecture. Delve into the symplecto-geometric interpretation of bordered Heegaard-Floer homology and uncover the rich mathematical structures connecting these objects to higher Waldhausen S-constructions. Gain insights from collaborative research involving Tobias Dyckerhoff, Yanki Lekili, and Walde, presented by Gustavo Jasso at the Hausdorff Center for Mathematics.