On the Rouquier Dimension of Wrapped Fukaya Categories
Explore the intricate relationship between Rouquier dimension of derived wrapped Fukaya categories and symplectic topology in this 58-minute lecture by Shaoyun Bai from Princeton University. Delve into the definition of Rouquier dimension for triangulated categories and its connection to quantitative intersection problems of Lagrangian skeleta and critical point estimation in symplectic Lefschetz fibrations. Discover how recent advances in symplectic flexibility and the local-to-global characterization of wrapped Fukaya categories contribute to resolving new cases of Orlov's conjecture. Learn about the application of homological mirror symmetry in bounding the Rouquier dimension of derived categories of algebraic varieties. This talk, presented at the University of Miami, offers insights into joint work with Laurent Cote, bridging abstract category theory with concrete problems in symplectic geometry.