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*