Schramm-Loewner Evolution Courses and Certifications

BIMSA

Understanding the Relationship Between the Schramm-Loewner Evolution and the Gaussian Free Field

Explore the connection between Schramm-Loewner Evolution, Gaussian Free Field, and Liouville Quantum Gravity through a novel, accessible approach for non-specialists.

• YouTube
• 1 hour 7 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

Institut des Hautes Etudes Scientifiques (IHES)

The Loewner Energy at the Crossroad of Random Conformal Geometry - Lecture 4

Explore the Loewner energy's role in random conformal geometry, connecting SLE, Weil-Petersson quasicircles, and diverse mathematical fields. Gain insights into curve roundness and its implications.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

SLE and Its Partition Function in Multiply Connected Domains

Delve into Schramm-Loewner Evolution (SLE) in multiply connected domains, exploring explicit constructions, partition functions, and topological cases based on research with J. Aru.

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

Hausdorff Center for Mathematics

Integration by Parts in Random Conformal Geometry and Applications

Explore integration by parts formulas in random conformal geometry, focusing on Gaussian free fields and Schramm-Loewner evolutions with Virasoro algebra representations.

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

Hausdorff Center for Mathematics

Commutation Relation and BPZ Equations

Explore conformal invariance and domain Markov properties in multiple random curves through Schramm Loewner evolution and Dubédat's commutation relation framework.

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

Hausdorff Center for Mathematics

Integration by Parts in Random Conformal Geometry and Applications

Explore the variational formulas of Gaussian free field and Schramm-Loewner evolutions, examining integration by parts formulas and their representation of the Virasoro algebra with probabilistic applications.

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

Fields Institute

Advanced Course I: Schramm Loewner Evolution and Lattice Models - Lecture 2, Part 2

Explore advanced concepts in Schramm Loewner Evolution and lattice models, focusing on theoretical foundations and applications in mathematical physics and probability theory.

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

Fields Institute

Schramm Loewner Evolution and Lattice Models - Advanced Course Lecture 1, Part 1

Explore Schramm Loewner Evolution and its connections to lattice models in this advanced mathematics lecture, delving into complex analysis and probability theory.

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

Institute for Pure & Applied Mathematics (IPAM)

Gaussian Free Field and Schramm-Loewner Evolution - Part 1

Explore the Gaussian free field and Schramm-Loewner Evolution, two key concepts in random geometry. Learn their applications in statistical physics and connections to critical phenomena.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Gaussian Free Field and Schramm-Loewner Evolution - Part 2

Explore Gaussian free field and Schramm-Loewner Evolution in random geometry. Discover connections between these canonical objects and their applications in statistical physics and conformal field theory.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

The Loewner Energy at the Crossroad of Random Conformal Geometry - Lecture 2

Explore the Loewner energy's role in random conformal geometry, connecting SLE, Weil-Petersson quasicircles, and various mathematical branches. Gain insights into curve roundness and its implications.

• YouTube
• 1 hour 53 minutes
• On-Demand
• Free Video