Centre de recherches mathématiques - CRM Courses

Scalar Curvature Rigidity of Polytopes

Explore Riemannian metrics and scalar curvature positivity in differential geometry. Delve into Gromov's comparison principle for polytopes and recent advancements in verifying his conjecture.

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

Singularity Models in 3D Ricci Flow

Explore singularity formation in 3D Ricci flow, examining recent developments leading to a complete classification of singularity models beyond Perelman's breakthrough.

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

Functional Neuronal Networks

Explore functional data analysis integration in deep neural networks, enhancing interpretability and prediction for scalar responses with functional and scalar covariates.

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

Billiards in Conics Revisited - Optical Properties and Geometric Consequences

Explore optical properties of conics, billiard reflections, and geometric consequences. Delve into classic results, Ivory's lemma, Poncelet Porism, and related theorems in projective geometry.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Isolated and Parameterized Points on Algebraic Curves

Explore isolated and parameterized points on algebraic curves, examining their behavior in families and implications for elliptic curve arithmetic. Gain insights into curve geometry and its connection to arithmetic properties.

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

Integrating Mechanistic Models with Computational Statistics and Machine Learning - New Insights in Biology

Explore integrating mechanistic models with computational statistics and machine learning for new insights in cell and developmental biology. Tackle challenges in analyzing complex quantitative data.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Quantifying Household Transmission Dynamics for Epidemic Control: COVID-19 and Beyond

Explore mathematical models of household transmission networks for epidemic control, focusing on COVID-19 impacts, social distancing effectiveness, and housing policy implications.

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

Model-Based Evaluation of HIV Treatment Strategies

Explore mathematical models for evaluating HIV treatment strategies, understanding disease dynamics, and guiding therapeutic development for improved patient outcomes.

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

Classification Using Sets of Sets of Reals as Invariants

Explore Borel equivalence relations and Friedman-Stanley jumps in classification problems. Analyze complexity, optimal invariants, and structural dichotomies in mathematical classifications.

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

Corona Rigidity in Operator Theory and C*-Algebras

Explore corona rigidity in operator theory, examining extensions of Weyl-von Neumann theorem and its implications for C*-algebras, Calkin algebra, and isomorphisms of quotients.

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

Degeneracy Loci in Geometry and Combinatorics

Explore degeneracy loci in geometry, tracing their history and examining modern formulas connecting geometric concepts with Schubert polynomial combinatorics.

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

How to Prove Isoperimetric Inequalities by Random Sampling

Explore isoperimetric inequalities through random sampling. Learn probabilistic approaches to Lp affine isoperimetric inequalities in non-convex ranges, bridging Brunn-Minkowski and dual theories.

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

Skew-Symmetric Approximations of Posterior Distributions - Colloque des Sciences Mathématiques du Québec

Explore unified skew-normal distributions as conjugate priors for discretized Gaussian linear regressions, enhancing Bayesian inference and computation in regression models across various fields.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Tricher à l'aide des mathématiques

Découvrez comment les mathématiques peuvent être utilisées pour détecter la triche dans les jeux de hasard et les tours de magie, et apprenez pourquoi mélanger les cartes sept fois est crucial.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Parametric Geometric Inequalities and Weyl Law for the Volume Spectrum

Explore parametric geometric inequalities and their connection to the volume spectrum, examining proofs, applications, and implications for minimal surfaces and stationary geodesic nets.

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