Fields Institute Courses

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Two Backbones of the Cyclic Theory

Explore the foundations of cyclic theory with renowned mathematician Alain Connes, delving into its dual pillars and their profound implications in modern mathematics.

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

Reproducing Kernel Hilbert Space of Analytic Functions - Advanced Course II, Lecture 2 Part 1

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

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

Reproducing Kernel Hilbert Space of Analytic Functions - Advanced Course II, Lecture 2, Part 2

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

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

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

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

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

Advanced Course I: Schramm Loewner Evolution and Lattice Models - Lecture 2, Part 2

Explore advanced concepts in Schramm Loewner Evolution and lattice models, focusing on theoretical foundations and applications in mathematical physics and probability theory.

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

From Ramanujan Graphs to Ramanujan Complexes

Explore the mathematical journey from Ramanujan graphs to Ramanujan complexes, delving into advanced number theory concepts and their applications in graph theory and topology.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

The Use of a Hurricane Model in Public Health - Method, Use and Presentation

Explore the application of hurricane models in public health, focusing on COVID-19 data analysis. Learn about cyclical case trends, forecasting methods, and innovative result presentation techniques.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video