Infinitely many Lagrangian fillings
报告人：Honghao Gao (Michigan State University)
时间：2020-11-10 10:15-11:15
地点：online
Abstract: Classifications of Legendrian knots and their exact Lagrangian fillings are central questions in low-dimensional contact and symplectic topology. Recent development suggests that one can use cluster seeds to distinguish exact Lagrangian fillings. It requires a filling-to-cluster functoriality over a moduli space of Legendrian invariants. This invariant can be sheaf theoretic (Shende-Treumann-Williams-Zaslow) or Floer theoretic (joint work with Linhui Shen and Daping Weng).
As an application, I will explain how to use Legendrian loops and cluster algebras to construct infinitely many exact Lagrangian fillings for most torus links (joint work with Roger Casals, using sheaf-theoretic invariants), and for most positive braid links (joint work with Linhui Shen and Daping Weng, using Floer-theoretic invariants).
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https://zoom.com.cn/j/66681674327?pwd=d0Y0RFc4a1BOSHgrVm9vV1J0Qlk5Zz09
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