The GCS2022 School is the second week of the program Global Categorical Symmetries 2022, held at the Perimeter Institute for Theoretical Physics June 6-17. Videos are available at https://pirsa.org/C22008.
Minicourses
- Clay Córdova: Introduction to anomalies in quantum field theory
- Dan Freed: Finite symmetry in QFT
- Mike Hopkins: Lattice systems and topological field theories
- Kantaro Ohmori: Introduction to symmetries in quantum field theory
Problem sessions will be TAed by Arun Debray and Ho Tat Lam.
Suggested readings
- Córdova, Freed, Lam, and Seiberg, Anomalies in the Space of Couplings I.
- Córdova and Ohmori, Anomaly Obstructions to Symmetry preserving Gapped Phases.
- Freed, The cobordism hypothesis.
- Gaiotto, Kapustin, Seiberg, and Willett, Generalized Global Symmetries.
- Lurie, On the classification of topological field theories.
- Teleman, Five lectures on topological field theory. Errata.
- Thorngren and Wang, Fusion Category Symmetry I.
Lecture notes
- Notes by Dan Freed: https://web.ma.utexas.edu/users/dafr/Freed_perim.pdf
- Notes by Arun Debray: https://www.math.purdue.edu/~adebray/lecture_notes/gcs2022_notes.pdf
- Notes by Davi Costa: https://www.overleaf.com/read/cdspwyfhszsh
Problem sets
- Dan Freed: Homework 1. Homework 2. Homework 3.
- Clay Cordova: Homework.
- Kantaro Ohmori: Homework.
- Mike Hopkins: Homework.
Detailed Schedule
Monday, June 13
9:30-10:30: Ohmori, Introduction to symmetries in quantum field theory
11:30-12:30: Freed, Finite symmetries in QFT
14:00-15:00: Cordova, Introduction to anomalies in quantum field theory
16:00-17:00: Hopkins, Lattice systems and topological field theories
Tuesday, June 14
9:00-10:00: Freed, Finite symmetries in QFT
11:00-12:00: Ohmori, Introduction to symmetries in quantum field theory
13:30-14:30: Cordova, Introduction to anomalies in quantum field theory
15:00-17:00: Problem session / open discussion
17:00-19:00: BBQ
Wednesday, June 15
9:00-10:00: Hopkins, Lattice systems and topological field theories
11:00-12:00: Freed, Finite symmetries in QFT
13:30-14:30: Ohmori, Introduction to symmetries in quantum field theory
15:00-17:00: Problem session / open discussion
Thursday, June 16
9:00-10:00: Cordova, Introduction to anomalies in quantum field theory
11:00-12:00: Ohmori, Introduction to symmetries in quantum field theory
13:30-14:30: Hopkins, Lattice systems and topological field theories
15:00-17:00: Problem session / open discussion
Friday, June 17
9:00-10:00: Freed, Finite symmetries in QFT
11:00-12:00: Hopkins, Lattice systems and topological field theories
13:30-14:30: Cordova, Introduction to anomalies in quantum field theory
15:00-17:00: Problem session / open discussion / goodbye
