Cobordism, index theorem, and generalized symmetry
Generalized symmetry is a symmetry beyond a group, such as higher form symmetry, noninvertible symmetry, and categorical symmetry, etc. We will learn cobordism and index theorem which are helpful to determine quantum anomalies where the symmetry can be higher form symmetry, and we will learn other generalized symmetry.
讲师
日期
2023年09月18日 至 12月11日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周一 | 13:30 - 16:55 | A3-3-201 | ZOOM 06 | 537 192 5549 | BIMSA |
参考资料
1. Zheyan Wan, Juven Wang: Higher Anomalies, Higher Symmetries, and Cobordisms I: Classification of Higher-Symmetry-Protected Topological States and Their Boundary Fermionic/Bosonic Anomalies via a Generalized Cobordism Theory, arXiv: 1812.11967
2. Daniel Freed: The Atiyah-Singer index theorem, arXiv: 2107.03557
3. Davide Gaiotto, Anton Kapustin, Nathan Seiberg, Brian Willett: Generalized Global Symmetries, arXiv: 1412.5148
4. Sakura Schäfer-Nameki: ICTP Lectures on (Non-)Invertible Generalized Symmetries, arXiv: 2305.18296
5. Shu-Heng Shao: What’s Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetry, arXiv: 2308.00747
2. Daniel Freed: The Atiyah-Singer index theorem, arXiv: 2107.03557
3. Davide Gaiotto, Anton Kapustin, Nathan Seiberg, Brian Willett: Generalized Global Symmetries, arXiv: 1412.5148
4. Sakura Schäfer-Nameki: ICTP Lectures on (Non-)Invertible Generalized Symmetries, arXiv: 2305.18296
5. Shu-Heng Shao: What’s Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetry, arXiv: 2308.00747
视频公开
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笔记公开
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讲师介绍
本科和博士毕业于中国科学技术大学，之前是清华大学丘成桐数学科学中心博士后，现在是北京雁栖湖应用数学研究院助理研究员，研究兴趣是用拓扑方法（cobordism）研究理论物理（anomaly）。