Geometry and String Theory
HomePage (Rev #327, changes)

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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 2023 Schedule

Date	Speaker	Topic
8/23		Organizational Meeting
8/30	Jacques Distler	QFT and von Neumann Algebras
9/6	Jacques Distler	QFT and von Neumann Algebras II
9/13	Brian Kent
9/20	Yasin Alam
9/27	Amir Raz
10/4	Alex Lu	Non-invertible Symmetries
10/11	Ryan Spieler
10/18		cancelled
10/25	Ryan Spieler	Non-Invertible Symmetries, Boundaries, and Anomalies II
11/1	Jackson Van Dyke	Topological Symmetries
11/8	Haoyu Sun	Hotspot conjecture
11/15
11/29

Spring 2024 Schedule

Date	Speaker	Topic
1/17		Organizational Meeting
1/24	Irving Dai	Exotic Phenomena in 4D Topology
1/31	Irving Dai Jacques Distler	Exotic Phenomena in 4D Topology (cont’d) Donaldson Invariants and Twisted $\mathcal{N}=2$ Gauge Theory
2/7	Jacques Distler	Donaldson Invariants and Twisted $\mathcal{N}=2$ Gauge Theory (cont’d)
2/14	Jacques Distler	Donaldson Invariants and Twisted $\mathcal{N}=2$ Gauge Theory (Return of the Jedi)
2/21	Stephen McKeown (UT Dallas)	TBA
2/28	Grant Elliot	Monopoles and four manifolds
3/7
3/21	William Winston	Dolgachev surfaces
3/28
4/4
4/11
4/18
4/25
5/2

References

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”
• 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

• E. Witten, “A Background Independent Algebra in Quantum Gravity”
• E. Witten, “Algebras, Regions, and Observers”

Non-Invertible Symmetries

• S. Shao, “What’s Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetry”
• Y. Choi, B. Rayhaun, Y. Sanghavi, S. Shao, “Comments on Boundaries, Anomalies, and Non-Invertible Symmetries”
• L. Bhardwaj and Y. Tachikawa, “On finite symmetries and their gauging in two dimensions”
• S. Schafer-Nameki, “ICTP Lectures on (Non)-Invertible Generalized 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

• A. Debray, M. Diergl, J. Heckman, M. Montero, “The anomaly that was not meant IIB”

Topological Holography

• H. Moradi, S.F. Moosaven, and A. Tiwari. “Topological holography: Towards a unification of Landau and beyond-Landau physics” Rem: If need be, Ryan is flexible with talk time. Please do not move it sooner or to 11/19, since he has already scheduled a talk that week.

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

• D. Delmastro, J. Gomis, M. Yu, “Infrared phases of 2d QCD”

Twisted supergravity and Koszul duality

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

Topological Defect Networks

• D. Aasen, D. Bulmash, A. Prem, K. Slagle, D. Williamson,“Topological Defect Networks for Fractons of all Types”

• D. Aasen, “Topological Defect Networks for Fracton Models - IPAM at UCLA”

• D. Bulmash “Insights into type-II fractons via topological order - Harvard CMSA”

Haah Codes

• J. Haah “Local stabilizer codes in three dimensions without string logical operators”

• J. Haah “Bifurcation in entanglement renormalization group flow of a gapped spin model”

Entanglement in Quantum Field Theory

• E. Witten, “Notes on Some Entanglement Properties of Quantum Field Theory”
• H. Casini, M. Huerta, “Lectures on entanglement in quantum field theory”
• E. Witten, “Gravity and the Crossed Product”
• E. Witten, “Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?”
• J. Yngvason, “The Role of Type III Factors 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

• T. Creutzig, T. Dimofte, N. Garner, N. Geer, “A QFT for non-semisimple TQFT”