Cobordism and Anomalies
This course builds the mathematical and physical foundations of cobordism theory and applies them to classify and compute anomalies in diverse quantum field theories and topological phases, culminating in discussions of recent research on discrete symmetry anomalies, fermionic TQFTs via symmetry extension, and symmetry-enforced gaplessness in 3+1 dimensions.
讲师
日期
2026年04月08日 至 06月24日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周三 | 13:30 - 16:55 | A3-3-201 | ZOOM 06 | 537 192 5549 | BIMSA |
参考资料
1. Reflection positivity and invertible topological phases (Freed & Hopkins) arXiv: 1604.06527
2. Anomaly Inflow and the η-Invariant (Witten & Yonekura) arXiv: 1909.08775
3. Anomaly of 4d Weyl fermion with discrete symmetries (Zheyan Wan) arXiv: 2506.19710
4. Anomalous (3+1)d Fermionic Topological Quantum Field Theories via Symmetry Extension (Wan & Wang) arXiv: 2512.25038
5. How to Build Anomalous (3+1)d Topological Quantum Field Theories (Debray, Ye, Yu) arXiv: 2510.24834
6. Symmetric Gapped States and Symmetry-Enforced Gaplessness in 3-dimension (Debray, Ye, Yu) arXiv: 2602.12335
2. Anomaly Inflow and the η-Invariant (Witten & Yonekura) arXiv: 1909.08775
3. Anomaly of 4d Weyl fermion with discrete symmetries (Zheyan Wan) arXiv: 2506.19710
4. Anomalous (3+1)d Fermionic Topological Quantum Field Theories via Symmetry Extension (Wan & Wang) arXiv: 2512.25038
5. How to Build Anomalous (3+1)d Topological Quantum Field Theories (Debray, Ye, Yu) arXiv: 2510.24834
6. Symmetric Gapped States and Symmetry-Enforced Gaplessness in 3-dimension (Debray, Ye, Yu) arXiv: 2602.12335
视频公开
公开
笔记公开
公开
语言
英文
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）。