IPhT-TV Courses

From Mathematical Singularities to Physics of Turbulence #4

Explore advanced mathematical singularities and their applications in turbulence physics through expert analysis and theoretical frameworks.

• YouTube
• 2 hours 40 minutes
• Self-Paced
• Free Video

From Mathematical Singularities to Physics of Turbulence #2

Explore advanced mathematical singularities and their applications in turbulence physics through expert analysis and theoretical frameworks.

• YouTube
• 2 hours 37 minutes
• Self-Paced
• Free Video

Solving 1D Crossing and QFT2/QFT1

Explore extremal solutions to 1D crossing equations for identical scalars, connecting CFT bootstrap methods with AdS2/CFT1 correspondence and bulk operator reconstruction.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Local Times of Brownian Motion Indexed by the Brownian Tree and Volume - 18

Explore local times for Brownian motion indexed by the Brownian tree, building blocks of random planar maps' scaling limits, with applications to volume processes and stochastic equations.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Distance dans les Cartes Planaires et Polynômes Orthogonaux - 17

Explorez les propriétés de la fonction à deux points pour les cartes planaires via les polynômes orthogonaux et découvrez des preuves analytiques alternatives de leurs propriétés intégrables.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

Schnyder Orientations for d-Irreducible Maps - 16

Explore bijective approaches for planar maps using Schnyder orientations, covering d-angulations, girth constraints, and d-irreducible maps with controlled face-degrees.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Combinatorics and Topological Weights of Chromatin Loop Networks - 15

Explore polymer models and combinatorial methods to understand 3D chromatin folding, discovering how local loops dominate over nonlocal contacts in mammalian DNA organization.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

The Scaling Limit of the Intrinsic Metric and Simple Random Walk on 2D Critical Percolation

Explore the scaling limits of intrinsic metrics and random walks on 2D critical percolation, connecting discrete lattice models to continuum CLE gaskets with canonical metrics.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

On the Uniqueness of the Infinite Noodle - 14

Explore advanced mathematical conjectures on meanders and infinite clusters through the lens of uniform noncrossing matchings and loop models on random quadrangulations.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

A Bijection Between Rigid and Integer Labeled Quadrangulations - 11

Explore the bijection between rigid quadrangulations and integer-labeled quadrangulations, connecting combinatorial structures with natural statistics and scaling limits.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Quantum Walks on Random Combs - 12

Explore quantum walks on random comb structures and discover how geometric randomness creates unique effects distinct from classical random walks and standard localization theory.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

The Continuum Schaeffer BDG Bijection - 25 Years Later

Explore la bijection continue de Schaeffer-BDG et sa relation avec la sphère brownienne, révélant comment construire des espaces métriques aléatoires à partir d'arbres étiquetés continus.

• YouTube
• 36 minutes
• Self-Paced
• Free Video

Quantum Quenches from Quantum Fields

Explore exact calculations of overlaps between matrix product states and Bethe eigenstates in integrable spin chains underlying Maldacena duality and quantum quenches.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

On the Combinatorics of One Variable Catalytic Equation

Explore bijective combinatorics techniques for solving catalytic equations in map enumeration and other combinatorial problems through advanced mathematical methods.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

The 3-State Potts Model on Planar Maps - 07

Explore the 3-state Potts model on planar triangulations, discovering algebraic solutions and critical values through discrete differential equations.

• YouTube
• 48 minutes
• Self-Paced
• Free Video