10-12【吴惟为】Floer cohomology of compositions of Lagrangian Dehn twists

发布时间:2023-10-07来源:几何与物理研究中心中文网页浏览次数:10

报告人:吴惟为(浙江大学)

时间:2023年10月12日 10:00-11:00

地点:物质科研楼C1124



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