Fields Institute Courses

Fourier Uniqueness and Non-Uniqueness Pairs

Explore Fourier uniqueness and non-uniqueness pairs in this advanced mathematics lecture, delving into complex analysis and function spaces.

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

The Close Relation Between K Theory and TC Theory

Explores the tight relationship between algebraic K-theory and topological cyclic homology for p-adically complete rings, discussing recent results and future challenges in non-commutative cases.

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

A Volterra-Type Operator on Hardy Spaces and Multiplication Operators on Analytic Tent Spaces

Explore Volterra-type operators on Hardy spaces and multiplication operators on analytic tent spaces in this advanced mathematical analysis presentation.

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

High-Energy Behaviour of Weyl Coefficients

Explore the high-energy behavior of Weyl coefficients in analytic function spaces, presented by Harald Woracek from Vienna University of Technology.

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

Smooth Functions in Extreme de Branges-Rovnyak Spaces

Explore extreme de Branges-Rovnyak spaces and their smooth functions in this advanced mathematical analysis, focusing on analytic function spaces and their applications.

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

Machine Learning, Financial Stress and Investment Behaviours

Explore machine learning applications in analyzing financial stress and investment behaviors, focusing on quantitative finance techniques and real-world implications.

• YouTube
• 1 hour 58 minutes
• Self-Paced
• Free Video

Assessing Asset-Liability Risk and the Numerical Approximation of Conditional Expectations

Explore asset-liability risk assessment and numerical approximation techniques for conditional expectations in quantitative finance, enhancing risk management skills.

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

Semidefinite Optimization Approaches for Reactive Optimal Power Flow Problems

Explore advanced optimization techniques for solving reactive optimal power flow problems in electrical power systems using semidefinite programming approaches.

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

Introduction to Deep Learning with Applications to Stochastic Control and Games

Explore deep learning applications in stochastic control and games, focusing on key concepts and practical implementations for quantitative finance professionals.

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

Arbitrage-Free Yield Curve and Bond Price Forecasting by Deep Neural Networks

Explore deep neural networks for arbitrage-free yield curve and bond price forecasting, enhancing quantitative finance strategies and market predictions.

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

Topological Cyclic Homology and the Fargues-Fontaine Curve

Explore the intersection of topological cyclic homology and the Fargues-Fontaine curve in advanced mathematics, presented by renowned expert Lars Hesselholt.

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

Local Index Formula in Noncommutative Geometry and Hopf-Cyclic Cohomology

Explore the intersection of noncommutative geometry and Hopf-cyclic cohomology, focusing on the local index formula and its implications in advanced mathematical theory.

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

Reproducing Kernel Hilbert Space of Analytic Functions - Lecture 3 Part 2

Explore advanced concepts in reproducing kernel Hilbert spaces of analytic functions, focusing on theoretical foundations and applications in functional analysis.

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

Pushing Cyclic Cocycles Over Sobolev Domains and the Extraordinary Consequences for Material Science

Explore the intersection of cyclic cohomology and material science, uncovering extraordinary consequences and potential applications in advanced mathematical physics.

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

Cyclic Cohomology and Higher Invariants of Elliptic Differential Operators

Explore advanced mathematical concepts in cyclic cohomology and their applications to elliptic differential operators, focusing on higher invariants and recent developments.

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