报告题目：Grid plabic graphs, Legendrian weaves, and cluster structures

报告人：翁达平，UC Davis

时间： 2022年12月2日（周五）13:30-14:30

腾讯会议：647-4448-8711 

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https://meeting.tencent.com/dm/VvMCGE4fgWA0

摘要： We construct a Legendrian link in R^3 from a “grid” plabic graph on R^2. We study a moduli space problem associated with the Legendrian link and construct a natural cluster structure on this moduli space using Legendrian weaves. In particular, we prove that any braid variety associated with (beta Delta) for a 3-strand braid beta admits cluster structures with an explicit construction of initial seeds. We also construct Donaldson-Thomas transformations for these moduli spaces. In this talk, I will introduce the theoretical background and describe the basic combinatorics for constructing Legendrian weaves and the cluster structures from a grid plabic graph. This is based on a joint work with Roger Casals (arXiv:2204.13244).

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