#
Geometry and String Theory
2020-21

This is the homepage for the UT Geometry and String Theory Seminar. At the organizational meeting we will flesh out the details of our plans for the semester. Below are some suggestions to get us started.

There is a mailing list. To subscribe, send an email to sympa@utlists.utexas.edu with subject
“`subscribe math-gst Your Name`”.

At least for the Fall, the seminar will take place online.

## Fall 2020 Schedule

Date | Speaker | Topic
--- | --- | ---
8/26 |  | Organizational Meeting
9/2 | Andreas Karch | QFT and fractons
9/9 | Ryan Spieler | Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory
9/16 | Amir Raz | Reduced conformal symmetry
9/23 | Shehper | More on Fractons
9/30 | Shehper | Even More on Fractons
10/7 | Sebastian Schulz | Mirzakhani and Weil-Petersson volumes I
10/14 | Ricky Wedeen | Mirzakhani and Weil-Petersson volumes II
10/21 | Lewis Bowen | Mirzakhani and Weil-Petersson volumes III
10/28 | Charlie Reid | Mirzakhani and Weil-Petersson volumes IV
11/4 | Yale Fan | JT Gravity
11/11 | Jacques Distler | Weil-Petersson volumes of supermoduli space
11/18 | Jason Pollack | Replica Wormholes
12/2 |  |

## Spring 2021 Schedule

Date | Speaker | Topic
--- | --- | ---
1/20 |  | Organizational Meeting
1/27 | Andreas Karch | Introduction to the Swampland
2/3 | Dan Freed | Introduction to Kontsevich-Segal
2/10 | Jacques Distler | Topology-change in Quantum Gravity and McNamara-Vafa
2/17 | Arun Debray | Variants of Cobordism theories and McNamara-Vafa
2/24 | Shehper | Wightman framework of QFT
3/3 | Charlie Reid | Allowable complex metrics
3/10 | Haoyu Sun | Shilov boundaries in representation theory
3/24 | Will & Sebastian | Axioms for QFT and nuclear spaces
3/31 | Will & Sebastian | Axioms for QFT and nuclear spaces
4/7 | Ricky Wedeen | Globally hyperbolic manifolds and Wick rotation
4/14 |  |
4/21 |  |
4/28 | Yale Fan |
5/5 | Qianyu Hao | Painleve equations and 4d N=2 gauge theory

## References

### Fractons

- R. Nandkishore and M. Hermele, “Fractons”
- N. Seiberg and S-H. Shao, “Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory”
- K. Slagle, “Foliated Quantum Field Theory of Fracton Order”
- A. Karch and A. Raz, “Reduced Conformal Symmetry”

### Matrix models and JT gravity

- P. Saad, S. H. Shenker, D. Stanford, “JT gravity as a matrix integral”
- E. Witten, “Volumes and random matrices”
- D. Stanford, E. Witten, “JT gravity and the ensembles of random matrix theory”
- C. McMullen, “The work of Maryam Mirzakhani”
- A. Wright, “A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces”
- M. Mirzakhani, “Simple geodesics and Weil–Petersson volumes of moduli spaces of bordered Riemann surfaces”
- R. Dijkgraaf, E. Witten, “Developments in topological gravity”

### Twisted supergravity and Koszul duality

- K. Costello, N. M. Paquette, “Twisted supergravity and Koszul duality: a case study in AdS3”

### Wick rotation and the positivity of energy

- M. Kontsevich, G. Segal, “Wick rotation and the positivity of energy in quantum field theory”

### Swampland Cobordism Conjecture

- J. McNamara and C. Vafa, “Cobordism Classes and the Swampland”
- M. Montero and C. Vafa, “Cobordism Conjecture, Anomalies, and the String Lamppost Principle”

### “Condensed Matter” Topics

- M. Freedman and M. Hastings, “Classification of Quantum Cellular Automata”
- M. Freedman, J Haah, and M. Hastings, “The Group Structure of Quantum Cellular Automata”
- D. Delmastro, D. Gaiotto, J. Gomis, “Global Anomalies on the Hilbert Space”
- A. Kapustin, L. Spodyneiko, “Higher-dimensional generalizations of the Berry curvature”
- P. Hsin, A. Kapustin, R. Thorngren, “Berry Phase in Quantum Field Theory: Diabolical Points and Boundary Phenomena”
- A. Kapustin, N. Sopenko, B. Yang, “A classification of phases of bosonic quantum lattice systems in one dimension”

Created on August 25, 2021 13:21:40 by Jacques Distler