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.
Lecturer
Date
18th September ~ 11th December, 2023
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Monday | 13:30 - 16:55 | A3-3-201 | ZOOM 06 | 537 192 5549 | BIMSA |
Reference
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
Video Public
Yes
Notes Public
Yes
Lecturer Intro
I obtained my Bachelor's and Ph.D. degrees from the University of Science and Technology of China. Before my current position as an assistant professor at BIMSA, I was a postdoc at Yau Mathematical Sciences Center, Tsinghua University. My research interests lie in using topological methods (cobordism) to study theoretical physics (anomaly).