Operator Theory Courses and Certifications

Instituto de Matemática Pura e Aplicada

Maximal Monotone Operator and Splitting Method - Lecture 4

Delve into advanced mathematical concepts of maximal monotone operators and splitting methods in this fourth lecture of the summer school series at IMPA.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

La Grande Aventure du Problème du Sous-Espace Invariant

Découvrez l'aventure mathématique du problème du sous-espace invariant, un défi non résolu de la théorie des opérateurs qui inspire la recherche internationale depuis 30 ans.

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

Instituto de Matemática Pura e Aplicada

Maximal Monotone Operator and Splitting Method - Lecture 5

Delve into advanced mathematical concepts of maximal monotone operators and splitting methods, exploring theoretical foundations and practical applications in operator theory.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Maximal Monotone Operator and Splitting Method - Lecture 1

Delve into fundamental concepts of maximal monotone operators and splitting methods in mathematical analysis, exploring theoretical foundations and practical applications.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Operator Scaling via Geodesically Convex Optimization, Invariant Theory and Polynomial Identity Testing - Yuanzhi Li

Explore geodesically convex optimization, invariant theory, and polynomial identity testing in this advanced seminar on operator scaling, featuring key theorems and proofs.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video

GERAD Research Center

Koopman Operator Theory Based Machine Learning of Dynamical Systems

Explore Koopman Operator Theory for machine learning of dynamical systems, covering applications in fluid dynamics, power grids, network security, and more.

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

Topos Institute

The Functorial Difference Operator in Category Theory

Explore the mathematical concept of difference operators through Set theory and category theory, featuring combinatorial identities and practical examples for endofunctors.

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

NPTEL-NOC IITM

Quantum Theory of Light - Operator Approach to Solving Harmonic Oscillator Problem

Explore the operator approach to solving quantum harmonic oscillator problems in the context of quantum theory of light.

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

Fields Institute

Koopman Operator Theory Based Machine Learning of Dynamical Systems

Explore advanced machine learning techniques for dynamical systems using Koopman operator theory, presented by Igor Mezic from UC Santa Barbara.

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

BIMSA

Energy Operator in Particle Physics and Quantum Field Theory

Explore recent advancements in energy operator theory and its applications in particle physics, quantum field theory, and collider experiments, emphasizing the resurgence of energy-energy correlator measurements.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Fields Institute

Quantitative Operator K-Theory, Positive Scalar Curvature and Filling Radius

Explore connections between quantitative operator K-theory, positive scalar curvature, and filling radius in this advanced mathematics talk by Guoliang Yu.

• YouTube
• 54 minutes
• On-Demand
• Conference Talk

Hausdorff Center for Mathematics

The Representation Theory of Vertex Operator Algebras, Conformal Bootstrap and Segal's Axioms

Explore vertex operator algebras' representation theory and its role in constructing conformal field theories, covering conformal bootstrap, Segal's axioms, and Liouville theory.

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

Institute for Advanced Study

Local Operator Algebras of Charged States in Gauge Theory and Gravity

Explore an alternative approach to defining physical charged operators in quantum field theory using an automorphism that preserves local algebra properties, with applications to gauge theory and gravity.

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

Kavli Institute for Theoretical Physics

Instanton Density Operator in Lattice QCD from Higher Category Theory

Explore the application of higher category theory to instanton density operators in lattice QCD, examining connections between lattice gauge theory and continuum approaches to quantum field theory.

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

Hausdorff Center for Mathematics

Gabor Analysis and Its Mysteries

Einführung in die Gabor-Analyse: Grundlagen, Anwendungen und mathematische Konzepte für Signalverarbeitung, Quantenmechanik und Kommunikationstechnik.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video