Speaker: Weiwei Wu（Zhejiang University）
Time: 10:00-11:00, Oct 12, 2023
Room: C1124, Material Science Research Building (Section C), USTC
We will explain the concept of Lagrangian Dehn twists and its significance in mirror symmetry. There is a conjecture due to Paul Seidel, which asserts the composition of a sequence of Lagrangian Dehn twists can be computed as a mapping cone between the Floer chain complex of the identity, as well as a cube complex formed by the Hochschild complex of a directed subcatgory with spherical objects. We give two proofs of this conjecture, one is purely algebraic, the other is more geometric and is of independent interests. We will also explain the relation between this work and other problems. This is a joint work with Cheuk-Yu Mak and Shuo Zhang
