Fields Institute Courses

Graduate Course on the Tangent Groupoid in Noncommutative Geometry - Lecture 2

Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in mathematical physics and operator algebras.

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

K-Theory and C*-Algebras - Lecture 5

Explore advanced concepts in operator algebras with a focus on K-Theory and C*-Algebras, led by renowned mathematician George Elliott from the University of Toronto.

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

Graduate Course on the Tangent Groupoid in Noncommutative Geometry - Lecture 3

Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in mathematical physics and operator algebras.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Equivariant Jiang-Su Stability and Equivariant Property Gamma

Explore equivariant Jiang-Su stability and property Gamma in operator algebras, delving into advanced mathematical concepts and their applications in symmetry and structure.

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

Prime and Semiprime Ideals in C*-Algebras

Explore prime and semiprime ideals in C*-algebras, delving into advanced concepts in operator theory and functional analysis.

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

Discussing the Haar Measure

Explore the fundamental concept of Haar measure in operator algebras, its properties, and applications in mathematical analysis and group theory.

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

Unveiling the Pontryagin Duality Theorem - A Proof in 4 Steps

Explore the Pontryagin Duality Theorem through a concise 4-step proof, unraveling its significance in operator algebra and its applications in mathematical analysis.

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

Reading Course Summary - Operator Algebra Seminar

Explore operator algebra concepts with Karl Lin from the University of Toronto in this seminar, part of a thematic program on operator algebras and applications.

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

Modelling of Spatial Infection Spread Through Heterogeneous Population

Explore spatial infection spread modeling in heterogeneous populations, examining key factors and methodologies for understanding disease transmission dynamics.

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

Abstract Harmonic Analysis - An Overview

Explore fundamental concepts and applications of abstract harmonic analysis, focusing on its role in operator algebras and broader mathematical contexts.

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

Some Functional Analysis Theorems

Explore key functional analysis theorems with Qingyang Bao from the University of Toronto, delving into advanced mathematical concepts and their applications in operator algebra.

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

Structure of Transformation Group C*-Algebras

Explore the intricate structure of transformation group C*-algebras in this advanced mathematics seminar, delving into operator algebra theory and its applications.

• YouTube
• 1 hour 39 minutes
• Self-Paced
• Free Video

Ultraproducts of W*-Bundles

Explore ultraproducts of W*-bundles in this advanced mathematics talk by Andrea Vaccaro, delving into operator algebras and their connections with logic.

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

A Notion of Index for Finite-Dimensional Operator Systems

Explore finite-dimensional operator systems and their index concept in this advanced mathematics lecture, delving into theoretical aspects and potential applications in operator algebras.

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

Tracially Complete C*-Algebras

Explore the concept of tracially complete C*-algebras in this advanced mathematical lecture, delving into operator algebras and their applications in logic and analysis.

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