Fields Institute Courses

Strong Convergence of Tensor Products of Independent G.U.E. Matrices

Explore strong convergence in tensor products of independent G.U.E. matrices with Mireille Capitaine, delving into advanced mathematical concepts and their applications.

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

Noncommutative Stochastic Calculus I

Explore advanced mathematical concepts in noncommutative stochastic calculus with expert Evangelos Nikitopoulos, delving into operator algebras and free probability theory.

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

Noncommutative Stochastic Calculus II

Explore advanced concepts in noncommutative stochastic calculus with David Jekel, delving into operator algebras and free probability theory applications.

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

Brown Measure of a Sum of Two Free Random Variables and Deformed Random Matrix Models

Explore free probability theory, focusing on Brown measure in sums of free random variables and applications to deformed random matrix models.

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

A Variational Approach to Free Probability

Explore a novel variational approach to free probability theory, examining its applications and implications in operator algebras and related mathematical fields.

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

Tangent Groupoid in Noncommutative Geometry - Lecture 18

Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.

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

Energy Market Modelling and Clean Energy Vision in Canada

Explore energy market modeling and Canada's clean energy vision, focusing on quantitative finance applications and future sustainability strategies.

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

K-Theory and C*-Algebras - Lecture 26

Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in mathematics.

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

K-Theory and C*-Algebras - Lecture 34

Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in mathematics.

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

Helton-Howe Trace, Connes-Chern Character, and Quantization

Explore advanced mathematical concepts connecting Helton-Howe Trace, Connes-Chern Character, and Quantization in this insightful lecture by Xiang Tang from Washington University in St. Louis.

• YouTube
• 46 minutes
• Self-Paced
• Conference Talk

Symplectic Geometry of Teichmueller Spaces for Surfaces with Boundary - Lecture 1

Explore symplectic geometry of Teichmueller spaces for surfaces with boundary in this advanced mathematics lecture by Eckhard Meinrenken from the University of Toronto.

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

Large Time Behavior of Laplacians on Symmetric Spaces

Explore the asymptotic properties of Laplacian operators on symmetric spaces, focusing on their long-term evolution and mathematical implications in non-commutative geometry.

• YouTube
• 53 minutes
• Self-Paced
• Conference Talk

Impact of Population Dispersal on Disease Prevalence

Explore how population movement affects disease spread, analyzing mathematical models to understand and predict epidemic patterns in interconnected regions.

• YouTube
• 37 minutes
• Self-Paced
• Conference Talk

From Rings of Operators to Noncommutative Geometry - Lecture 1

Explore the evolution from rings of operators to noncommutative geometry with renowned mathematician Alain Connes in this insightful Fields Institute lecture.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Realising Quantum Flag Manifolds as Graph C-Algebras

Explore quantum flag manifolds and their realization as graph C*-algebras in this advanced mathematics talk by Karen Strung from the Czech Academy of Sciences.

• YouTube
• 48 minutes
• Self-Paced
• Conference Talk