The 2026 Summer Course |
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Course Recordings
📺 Course Recordings
All recorded sessions will be uploaded to Bilibili shortly after each class.
Watch on Bilibili📋 Lecture Schedule & Individual Recording Links
| Date | Lecture (中文 / English) | Bilibili Link |
|---|---|---|
| Aug 17, 2026 | 小消去群与钻石引理 Small cancellation groups and the diamond lemma | 1A, 1B |
| Aug 18, 2026 | 曲面上的曲线、辫群、虚拟纽结、平纽结与自由纽结 Curves on surfaces, braids, virtual konts, flat knots, and free knots | 2A, 2B |
| Aug 20, 2026 | 图值不变量与奇偶性 Picture-Valued Invariants and Parity | 3A, 3B |
| Aug 21, 2026 | 自由纽结的配边理论 On cobordisms of free knots | 4A, 4B |
| Aug 22, 2026 | 群 Gₙᵏ与辫不变量 Groups Gₙᵏ and Braid Invariants | 5A, 5B |
| Aug 23, 2026 | 关于好的横截性条件与 Gₙᵏ 的推广 On Nice Transversality Conditions and Generalisatoins of Group Gₙᵏ | 6A, 6B |
| Aug 24, 2026 | 托勒密·五边形与辫不变量 Ptolemy, Pentagon, and Braid Invariants | 7A, 7B |
| Aug 25, 2026 | 三维流形、图拉耶夫–维罗不变量与迪克格拉夫– 维滕不变量（戴克格拉夫–威滕不变量） 3-Manifolds, Turaev-Viro Invariants, and Dijkgraaf-Witten Invariants | 8A, 8B |
| Aug 27, 2026 | 复习课、习题课 Review Session | No recordings |
| Aug 28, 2026 | 辫作用在何处 Where do Braids Act | 9A, 9B |
| Aug 29, 2026 | 研究项目：已完成与待完成的工作 What Is Done and What Is to Be Done | 10A, 10B |
📖 Related Lecture
| Date | Lecture | Bilibili Link |
|---|---|---|
| Aug 8, 2026 | On generalisations of groups Gnk for moduli spaces, braid groups, and algebraic geometry Talk by Prof. Vassily O. Manturov @ Seminar "Knots, graphs and groups" | Watch on Bilibili |
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Copyright © 2026 Summer Course @ GDUFS
Maintained by Chao Yang
| For more information about the regular online seminars on knots and representation theory organized by Prof. Vassily Manturov, please visit: https://www.ktrt-seminars.com/ |  |