Centre de recherches mathématiques - CRM Courses

New Isoperimetric Inequalities and Their Applications to Systolic Geometry and Minimal Surfaces

Explore new isoperimetric inequalities for k-dimensional submanifolds, their applications to systolic geometry, and implications for minimal submanifolds in this mathematical colloquium.

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

W-algebras and Lax Operators - Lecture 5

Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures in quantum algebra and integrable systems.

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

Braided Fusion Categories - Lecture 5: Witt Equivalence and Categorical Witt Group

Explore advanced concepts in braided fusion categories, including gauging, Picard groups, Witt equivalence, and categorical Witt groups. Suitable for graduate-level mathematics students.

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

Braided Fusion Categories - Lecture 4

Explore algebraic theory of semisimple braided tensor categories, covering properties, examples, centralizers, equivariantizations, gauging, and Witt equivalence. Suitable for graduate students.

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

W-algebras and Lax Operators - Lecture 3

Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures using advanced algebraic techniques.

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

Braided Fusion Categories - Lecture 3

Explore semisimple braided tensor categories, their structure, and classification. Delve into centralizers, non-degeneracy, equivariantizations, and the core of braided fusion categories.

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

Braided Fusion Categories - Lecture 2

Explore algebraic theory of semisimple braided tensor categories, covering structure, classification, and applications in quantum symmetries and topological quantum field theories.

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

W-algebras and Lax Operators - Lecture 2

Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures using advanced algebraic techniques.

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

The Magic of the Primes

Explore the fascinating world of prime numbers, their importance in mathematics and real-world applications, and recent progress on ancient mathematical questions.

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

W-algebras and Lax Operators - Lecture 1

Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures using advanced algebraic techniques.

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

Braided Fusion Categories - Lecture 1

Explore semisimple braided tensor categories, their structure, and classification. Learn about centralizers, non-degeneracy, equivariantizations, gauging, and Witt equivalence in fusion categories.

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

Dynamics of Quantum Integrable Systems via Coupled Heisenberg Equations

Explore quantum integrable systems dynamics using coupled Heisenberg equations. Analyze Onsager algebra models and Kitaev model, uncovering new analytical results for quench dynamics and related algebras.

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

Universality and Conformal Invariance in Critical Percolation Models

Explore critical percolation models' universal behavior and conformal invariance through Yang-Baxter integrable systems and Virasoro algebra representations. Gain insights into partition functions on cylinders and tori.

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

Onsager Algebras in Quantum Lattice Models

Explore Onsager algebras in quantum lattice models, their role in exactly solvable systems, and recent developments in integrable quantum physics.

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

An Excursion into Mean Curvature Flow

Explore mean curvature flow's regularity theory, focusing on distinctions between one-dimensional and higher-dimensional flows in this geometric analysis lecture.

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