Centre de recherches mathématiques - CRM Courses

Divisibility of Spheres with Measurable Pieces - Oleg Pikhurko

Explore divisibility of spheres with measurable pieces, focusing on Euclidean (d-1)-dimensional sphere S^(d-1) and special orthogonal matrices. Examine impossibility of measurable divisibility for generic rotations.

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

Non-Almost Finite Actions on the Cantor Set - Amenable Wreath Products

Explore non-almost finite actions on the Cantor set by amenable wreath products, challenging Kerr's topological analogue of the Ornstein-Weiss theorem in measurable dynamics.

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

A Substitute for Kazhdan's Property (T) for Universal Non-Lattices - Lecture

Explore computer-assisted methods for proving property (T) in geometric group theory, including recent developments and human efforts to understand these proofs.

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

A Borel Local Lemma for Finite Asymptotic Separation Index

Explore a Borel version of the Lovász Local Lemma for graphs with finite asymptotic separation index, improving measurable local lemma exponents and extending to exponential growth groups.

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

IRS of Non-Archimedean Groups - Measured Group Theory

Explorez les IRS des groupes non archimédiens, en élargissant la définition aux groupes polonais et en examinant les sous-groupes fermés du groupe de permutation de N.

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

Measure Equivalence and Wreath Products in Group Theory

Explore measure equivalence and wreath products in group theory, focusing on nonabelian free groups and orbit equivalence of wreath products.

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

Stationary Random Subgroups and Injectivity Radius in Negative Curvature

Explore stationary random subgroups and injectivity radius in negative curvature, focusing on rank one simple Lie groups and hyperbolic manifolds. Gain insights into recent theorems and their applications.

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

Fixed Price One for Higher Rank Groups - Measured Group Theory

Explore proof techniques for fixed price one in higher rank groups, with applications to lattices. No prior Lie theory knowledge required.

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

Critical Well-Posedness for the Derivative Nonlinear Schrödinger Equation on the Line

Explore critical well-posedness for the derivative nonlinear Schrödinger equation on the line, focusing on recent advancements in resolving the problem in critical space.

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

Branching Processes in Random Matrix Theory and Analytic Number Theory

Explore branching processes in random matrix theory and analytic number theory, focusing on limiting distributions, log-correlated phenomena, and recent conjectures about maxima of characteristic polynomials and L-functions.

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

Higher Auslander Algebras and Higher Representation Finite Algebras

Explore higher Auslander algebras, their construction methods, and connections to representation theory. Gain insights into recent developments and applications in algebra and representation theory.

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

Higher Order KR-Modules, Imaginary Modules and Monoidal Categorification

Explore connections between cluster algebras, quantum affine algebras, imaginary modules, and representation theory of general linear groups over non-archimedean fields.

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

Categorification at Roots of Unity

Explorez la catégorification des groupes quantiques aux racines de l'unité, en examinant les algèbres p-DG et les représentations catégoriques pour sl(2).

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

Categorifying Connections in Fusion Categories and Subfactors

Traduisez les idées principales de la théorie des paragroupes d'Ocneanu en langage catégorique tensoriel. Explorez les liens entre catégories de fusion et sous-facteurs.

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

Embeddings of Kac-Moody Affine Grassmannian Slices

Explorez les développements récents dans la théorie des représentations géométriques, en se concentrant sur les tranches de Grassmanniennes affines de type Kac-Moody et leur construction via les branches de Coulomb.

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