Liouville Theory Courses and Certifications

BIMSA

Liouville Conformal Field Theory and the DOZZ Formula

Explore Liouville Conformal Field Theory and discover the mathematical foundations of the DOZZ formula in this advanced physics presentation.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Harvard CMSA

Liouville Theory and Weil-Petersson Geometry

Delve into the connections between conformal field theory and Riemann surface geometry, exploring Liouville theory's applications to Weil-Petersson metrics and their computational methods.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

NCCR SwissMAP

Liouville CFT and Conformal Blocks

Explore Liouville conformal field theory and conformal blocks through advanced mathematical frameworks connecting topological recursion, CFT, and random geometry.

• YouTube
• 3 hours 22 minutes
• On-Demand
• Free Video

IPhT-TV

Liouville Theory: From Segal's Axioms to Conformal Blocks - 2023

Explorez la théorie de Liouville, des axiomes de Segal aux blocs conformes, dans cette conférence approfondie sur la physique théorique et la géométrie conforme.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Celestial and Carrollian Amplitudes and Celestial Liouville Theory

Explore celestial and Carrollian amplitudes in gauge, gravitational, and string theories, and their connection to celestial Liouville theory on non-trivial backgrounds.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Probabilistic Approach to Liouville Theory

Explore probabilistic approaches to Liouville theory in conformal field theory, focusing on integrable, probabilistic, and supersymmetric methods.

• YouTube
• 1 hour 54 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Introduction to Liouville Theory - Lecture 1

Explore conformal field theory through integrable, probabilistic, and supersymmetric approaches in Liouville Theory.

• YouTube
• 2 hours 2 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Relative Oscillation Theory and Essential Spectra of Sturm-Liouville Operators

Explore relative oscillation theory for Sturm-Liouville operators, examining perturbation results and essential spectra invariance in terms of real coefficients p, q, and r.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Conformal Field Theory - Virasoro Algebra, Wess-Zumino-Witten Models, and W-Algebras

Dive into advanced conformal field theory through Virasoro algebra, W-algebras, Wess-Zumino-Witten models, and boundary conditions in this comprehensive mathematical physics workshop.

• YouTube
• 20 hours 2 minutes
• On-Demand
• Free Video

BIMSA

Building Space-time with BCFT Legos - ICBS 2024

Explore quantum gravity duals of CFTs through conformal bootstrap, topological symmetries, and tensor networks. Discover how 2D Liouville theory illustrates building quantum gravitational path integrals using BCFT correlations.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Institute for Advanced Study

The Complex Liouville String - Introduction to a New 2D Gravity/Matrix Integral Duality

Explore a new 2D gravity/matrix integral duality through the complex Liouville string, connecting two-dimensional string theory with dilaton gravity and cosmological correlators in dS3.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

NCCR SwissMAP

From Liouville to Painlevé and Heun via CFT/Isomonodromy Relation

Explore conformal field theory through integrable, probabilistic, and supersymmetric perspectives, connecting Liouville theory to Painlevé and Heun equations.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Heun Connection Matrix from Liouville Conormal Blocks and Darboux Theorem

Explore the Heun connection matrix, Liouville conormal blocks, and Darboux theorem in the context of quantizing moduli spaces.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Representation Theory of Vertex Operator Algebras, Conformal Bootstrap and Segal's Axioms

Explore vertex operator algebras' representation theory and its role in constructing conformal field theories, covering conformal bootstrap, Segal's axioms, and Liouville theory.

• YouTube
• 57 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Deforming the Double Liouville String

Explore advanced string theory through deformations of the Double Liouville String model in this specialized physics presentation.

• YouTube
• 27 minutes
• On-Demand
• Free Video