Centre de recherches mathématiques - CRM Courses

Free Boundary Minimal Surfaces in Geodesic Balls in Hyperbolic Space and Upper Half-Sphere

Explore free boundary minimal surfaces in geodesic balls, connecting immersions in spherical caps to maximal metrics and extending results to hyperbolic space and upper half-sphere.

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

Steklov Eigenvalues in Negatively Curved Manifolds

Explore Steklov eigenvalue problem in negatively curved manifolds, focusing on lower bounds and relationships with volume and boundary area in dimensions 3 and higher.

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

Non-canonical Connectivity Measures on Metric Graphs

Explorez les mesures de connectivité non canoniques sur les graphes métriques, en examinant la connectivité algébrique, la distance moyenne et leurs liens avec le laplacien du graphe métrique.

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

Weyl Asymptotics for Poincare-Steklov Eigenvalues in Domains with Lipschitz Boundaries

Explorez les asymptotiques de Weyl pour les valeurs propres de Poincaré-Steklov dans un domaine à frontière lipschitzienne, avec une approche basée sur l'approximation par des problèmes réguliers.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

The Spectra of Some Arithmetical Matrices

Explore the spectral analysis of GCD matrices and their connection to analytic number theory, focusing on recent developments in this classical field.

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

Spectral Minimal Partitions of Metric Graphs: What and Why

Explorez les partitions minimales spectrales des graphes métriques, leurs liens avec la théorie spectrale et les coupures de Cheeger, et découvrez de nouveaux résultats sur les graphes non bornés et les conditions de Robin.

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

Adaptive Bayesian Predictive Inference

Explore adaptive Bayesian predictive inference for high-dimensional sparse mean estimation, examining sparsity priors and their performance in predictive density estimation under Kullback-Leibler loss.

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

Special Points on Moduli Spaces

Explore the distribution of special points in moduli spaces, examining algebraic and analytic aspects, including the Andre-Oort conjecture and p-adic distribution.

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

Une approche stratégique à l'atteinte de la carboneutralité - Pourquoi et comment

Explorez les défis et approches stratégiques pour atteindre la carboneutralité au Canada d'ici 2050, en examinant les transformations nécessaires du système énergétique et les perspectives d'avenir.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

An Exploration-Agnostic Characterization of the Ergodicity of Parallel Tempering

Explore non-reversible parallel tempering's ergodicity in complex distributions, examining its efficiency and comparing it to classical methods through theoretical analysis and simulations.

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

The Steklov Spectrum of Convex Euclidean Polygons

Explore upper bounds and inverse problems for Steklov eigenvalues of convex polygons. Discover how generic n-gons can be determined by their Steklov spectra using powerful spectral invariants.

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

The Dry Ten Martini Problem for Sturmian Schrodinger Operators

Explore the Dry Ten Martini Problem for Sturmian Schrodinger operators, examining spectral gaps and integrated density of states. Delve into recent solutions and advancements in this mathematical challenge.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Exponentially Many Graphs Are Determined by Their Spectrum

Explore discrete analogues of Kac's question on "hearing the shape of a drum" and learn about graphs determined by their spectrum in this mathematical seminar.

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

Why p-adic Numbers Are Better Than Real for Representation Theory

Explore p-adic numbers and their application in representation theory, focusing on SL(2) group and nilpotent orbits in Lie algebra.

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

Hamiltonian Geometry of Fluids

Explore Hamiltonian geometry of fluids, covering Arnold's group-theoretic approach, compressible fluids, optimal mass transport, and Newton's equations on diffeomorphism groups and probability densities.

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