Geometry and String Theory
HomePage
This is the homepage for the UT Geometry and Quantum Field 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
”.
Fall 2024 Schedule
Date Speaker Topic 8/28 Organizational Meeting
9/4 David Ben Zvi Categorical Symmetries
9/11
9/18 Ryan Spieler Gapped Phases with Non-Invertible Symmetry in 2+1 D
9/25
10/2 Alex Lu Gauging Non-Invertible Symmetries
10/9
10/16
10/23
10/30
11/6
11/13
11/20
12/4
Spring 2025 Schedule
Date Speaker Topic 1/15 Organizational Meeting
1/22
1/29
2/5
2/12
2/19
2/26
3/5
3/12
3/26
4/2
4/9
4/16
4/23
4/30
References
Fusion Category Symmetry Basics and Reviews
SymTFT and (Higher-)Categorical Landau Paradigm
Gauging Non-Invertible Symmetries
A. Perez-Lona, D. Robbins, E. Sharpe, T. Vandermeulen, X. Yu, “Notes on gauging noninvertible symmetries, part 1: Multiplicity-free cases ”
A. Perez-Lona, D. Robbins, E. Sharpe, T. Vandermeulen, X. Yu, “Notes on gauging noninvertible symmetries, part 2: higher multiplicity cases ”
Donaldson Theory and $\mathcal{N}=2$ SUSY Field Theory
Alexandru Scorpan, “The Wild World of 4-Manifolds ”
J.D. Moore, “Lecture Notes on Seiberg-Witten Invariants ”
Gompf & Stipsicz “[4-Manifolds and Kirby Calculus]”
Griffiths & Harris “[Principles of Algebraic Geometry]”
G. Moore, “Lectures On The Physical Approach To Donaldson And Seiberg-Witten Invariants Of Four-Manifolds ”
E. Witten, “Supersymmetric Yang-Mills theory on a four manifold ”
N. Seiberg, E. Witten, “Monopole Condensation, and confinement in N=2 supersymmetric Yang-Mills theory ”
E. Witten, “Monopoles and four manifolds ”
G. W. Moore, E. Witten, “Integration over the u-plane in Donaldson theory. ”
D. Baraglia, H. Konno, “On the Bauer-Furuta and Seiberg-Witten invariants of families of 4-manifolds ”
P. Kronheimer, T. Mrowka, “The Dehn twist on a sum of two K3 surfaces ”
J. Cushing, G. W. Moore, M. Rocek, V. Saxena, “Superconformal gravity and the topology of diffeomorphism groups ”
Old
Algebra of Observables in Curved Spacetime
Non-Invertible Symmetries
Brane Quantization and Analytic Geometric Langlands
S. Gukov, E. Witten, “Branes and Quantization ”
D. Gaiotto, E. Witten, “Probing Quantization Via Branes ”
E. Witten, ICTS Lecture 1: “The Problem of Quantization”
A. Kapustin, E. Witten, “Electric-Magnetic Duality and the Geometric Langlands Program ”
E. Witten, ICTS Lecture 2: “Quantization by Branes and Geometric Langlands”
D. Gaiotto, E. Witten, “Gauge Theory and the Analytic Form of the Geometric Langlands Program ”
E. Witten, ICTS Lecture 3: the Analytic Approach to Geometric Langlands
See also the lectures by Teschner at the same program .
Anomaly in S-duality Symmetry of IIB
Topological Holography
Categorical Symmetries
B. Heidenreich, J. McNamara, M. Montero, M. Reece, T. Rudelius, I. Valanzuela, “Non-invertible global symmetries and completeness of the spectrum ”
Y. Choi, C. Cordova, P. Hsin, H. Lam, S. Shao, “Non-Invertible Duality Defects in 3+1 Dimensions ”
Mass Gap in 2D Gauge Theory
Twisted supergravity and Koszul duality
Topological Defect Networks
Haah Codes
Entanglement in Quantum Field Theory
Complex Chern-Simons theory, resurgence, and quantum modularity
S. Gukov, M. Marino, P. Putrov, “Resurgence in complex Chern-Simons theory ”
S. Garoufalidis, J. Gu, M. Marino, “Peacock patterns and resurgence in complex Chern-Simons theory ”
S. Garoufalidis, J. Gu, M. Marino, C. Wheeler, “Resurgence of Chern-Simons theory at the trivial flat connection ”
S. Garoufalidis, D. Zagier, “Knots, perturbative series and quantum modularity ”
S. Garoufalidis, C. Wheeler, “Modular q-holonomic modules ”
Z. Duan, J. Gu, “Resurgence in complex Chern-Simons theory at generic levels ”
3d/3d correspondence, spectral networks, and abelianization
S. Cecotti, C. Cordova, C. Vafa, “Braids, Walls, and Mirrors ”
T. Dimofte, D. Gaiotto, S. Gukov, “3-Manifolds and 3d Indices ”
S. Garoufalidis, R. Kashaev, “A meromorphic extension of the 3D Index ”
A. Neitzke, F. Yan, “q-nonabelianization for line defects ”
D. Freed, A. Neitzke, “3d spectral networks and classical Chern-Simons theory ”
Non-semisimple TQFTs
Revised on September 3, 2024 17:14:59
by
Alex?
(136.62.144.119)