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 Small cancellation groups | Coming soon |
| Aug 18, 2026 | 辫群 Braid groups | Coming soon |
| Aug 20, 2026 | 自由纽结、奇偶括号、图值不变量 Free knots. The parity bracket. Picture-valued invariants | Coming soon |
| Aug 21, 2026 | 自由纽结的协边理论 Cobordisms of free knots | Coming soon |
| Aug 22, 2026 | 群 Gₙᵏ、辫的不变量与构型空间 The groups Gₙᵏ. Invariants of braids and configuration spaces | Coming soon |
| Aug 23, 2026 | 托勒密关系导出辫不变量 The Ptolemy relation yields braid invariants | Coming soon |
| Aug 24, 2026 | 模型：托勒密关系导出五边形 The toy model: Ptolemy yields pentagon | Coming soon |
| Aug 25, 2026 | 如何不写方程而解方程：投影法的精髓 How to solve equations without writing them: the essence of the photography method | Coming soon |
| Aug 27, 2026 | Dijkgraaf–Witten 不变量 Dijkgraaf–Witten invariants | Coming soon |
| Aug 28, 2026 | 相似图形引发学科交叉：辫、簇代数、热带几何、摄影法 Similar pictures lead to interactions between sciences: braids, cluster algebras, tropical geometry, photography method | Coming soon |
| Aug 29, 2026 | 课程总结 Course Review | Coming soon |
📖 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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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/ |  |