Graph Theory Courses

BIMSA

Geometry and Integers - Connections Between Number Theory and Geometric Structures

Explore connections between non-negative integer sets and diverse geometries, examining functions associated with primitive integer vectors and their relation to convex, toric, and birational geometries.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

BIMSA

Integrable Systems and Representation Theory: Between Geometry, Algebra and Analysis

Explore integrable systems in Hamiltonian mechanics, quantum systems, and statistical mechanics. Examine connections to representation theory and gauge theory quantization.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

What is an L-function? - An Introduction to Zeta and L-functions in Number Theory

Explore the evolution of L-functions from Euler to Langlands, understanding their crucial role in prime number distribution and mathematical research.

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

Centre de recherches mathématiques - CRM

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
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

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
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

A Quantitative Neumann Lemma for Finitely Generated Groups - Measured Group Theory

Explore coset covering functions in infinite, finitely generated groups. Discover lower bounds, linear growth in amenable groups, and exponential behavior in property (T) groups.

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

Centre de recherches mathématiques - CRM

Compact IRS and Compact URS in Group Theory

Explore generalizations of normal subgroups through Invariant Random Subgroups and Uniformly Recurrent Subgroups. Examine their behavior and recent findings on compact IRS and URS.

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

Centre de recherches mathématiques - CRM

L1 Full Groups of Flows in Measured Group Theory

Explore probability measure-preserving actions of reals, associated Polish groups, and their properties. Investigate L1 full groups, their abelianization, and topological rank.

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

Centre de recherches mathématiques - CRM

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
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

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
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

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
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

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
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Monoidal Triangular Geometry with Applications to Representation Theory

Explorez la géométrie triangulaire monoïdale et ses applications à la théorie des représentations, en mettant l'accent sur les algèbres de Hopf de dimension finie et les catégories tensorielles finies.

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

Centre de recherches mathématiques - CRM

Quantitative Global Theory of One-Frequency Quasiperiodic Operators - Part II

Explorez la théorie quantitative globale des opérateurs quasipériodiques à une fréquence, en examinant la réductibilité et ses implications dans les problèmes spectraux.

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

Centre de recherches mathématiques - CRM

Quantitative Global Theory of One-Frequency Quasiperiodic Operators - Part I

Explore quantitative global theory of one-frequency quasiperiodic operators, covering dynamic approaches, prototypical models, and applications in spectral problems.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video