Liouville Quantum Gravity Courses and Certifications

USC Probability and Statistics Seminar

Two Types of Integrability in Liouville Quantum Gravity - Lecture

Explore integrability in Liouville quantum gravity, examining conformal field theory and random planar maps, and learn how cutting and gluing techniques yield exact results.

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

BIMSA

2D Percolation, Random Triangulation, and Liouville Quantum Gravity

Explore 2D random geometry, Liouville quantum gravity, and their connections to discrete random surfaces, with insights on percolation and triangulation scaling limits.

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

Hausdorff Center for Mathematics

Application of Liouville Quantum Gravity to 2D Percolation

Discover how Liouville quantum gravity enables exact solvability in 2D statistical physics through percolation examples and SLE coupling theory applications.

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

BIMSA

Application of Liouville Quantum Gravity to 2D Percolation

Explore advanced mathematical connections between Liouville Quantum Gravity and 2D percolation theory in this specialized research presentation.

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

Hausdorff Center for Mathematics

Liouville Quantum Gravity with Central Charge in (1,25)

Explore Liouville quantum gravity in the supercritical phase, covering metric existence, area measure properties, CLE_4 coupling, and connections to random planar maps with central charge c ∈ (1,25).

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

Institute for Pure & Applied Mathematics (IPAM)

Exact Exponents for Directed Distances in Planar Maps in the λγλ-LQG Universality Class

Discover exact scaling exponents for directed graph distances in random bipolar-oriented planar maps within the γ-Liouville quantum gravity universality class framework.

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

Fields Institute

The Liouville Quantum Gravity Boundary Length as the Variation Process of the Distance Profile

Explore the intriguing connection between Liouville quantum gravity boundary length and distance profile variation in this advanced mathematical seminar.

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

International Mathematical Union

The Liouville Quantum Gravity Metric

Explore the construction and properties of the Liouville quantum gravity metric, a distance function for random fractal surfaces, and delve into related open problems in this mathematical presentation.

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

Hausdorff Center for Mathematics

Solvability of Schramm-Loewner Evolution via Liouville Quantum Gravity - Part 1

Explore the fascinating connection between Schramm-Loewner evolution, Liouville quantum gravity, and conformal field theory in this mathematical lecture examining scaling limits of critical statistical physics models.

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

Hausdorff Center for Mathematics

Solvability of Schramm-Loewner Evolution via Liouville Quantum Gravity - Part 2

Delve into the connections between Schramm-Loewner evolution, Liouville quantum gravity, and conformal field theory, exploring exact identities and correlation functions in this advanced mathematical exploration.

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

Hausdorff Center for Mathematics

Solvability of Schramm-Loewner Evolution via Liouville Quantum Gravity - Part 3

Delve into the mathematical connections between Schramm-Loewner evolution, Liouville quantum gravity, and conformal field theory, exploring exact identities and correlation functions in this advanced theoretical physics lecture.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Solvability of Schramm-Loewner Evolution via Liouville Quantum Gravity - Part 4

Delve into the connections between Schramm-Loewner evolution, Liouville quantum gravity, and conformal field theory, exploring how SLE interfaces relate to critical statistical physics models and the imaginary DOZZ formula.

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

Hausdorff Center for Mathematics

Embeddability of Liouville Quantum Gravity Metrics

Explore the mathematical properties of Liouville quantum gravity (LQG) metrics, focusing on embeddability results that show no LQG surface embedding into Euclidean space can be quasisymmetric.

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

BIMSA

Existence and Uniqueness of the Liouville Quantum Gravity Metric for γ ∈ (0,2)

Discover the mathematical foundations of Liouville quantum gravity metrics and their existence and uniqueness properties for gamma parameters in the interval (0,2).

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

Institute for Advanced Study

Liouville and JT Quantum Gravity - Holography and Matrix Models

Explore holography and matrix models in Liouville and JT quantum gravity, covering fixed-length boundaries, partition functions, multi-boundary amplitudes, and quantum group interpretations.

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