Fields Institute Courses

Definability and Scott Rank in Separable Metric Structures

Explore definability concepts and Scott rank theory within the framework of separable metric structures through advanced mathematical analysis.

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

H-infinity Control vs. Nominal LQR Control - Implications for Neuroscience Mathematical Modeling

Explore H-infinity and LQR control theory applications in neuroscience mathematical modeling through advanced comparative analysis and practical implications.

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

Extension of Strassen Theorem for Arbitrage-Free Prices of American Options

Explore advanced mathematical finance theory connecting Strassen's theorem to American option pricing in arbitrage-free markets through rigorous mathematical analysis.

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

On the Euler Characteristic of the Commutative Graph Complex

Explore the Euler characteristic of commutative graph complexes through advanced mathematical analysis and geometric insights in this specialized mathematics lecture.

• YouTube
• 1 hour 43 minutes
• Self-Paced
• Free Video

Fedosov Quantization in Positive and Mixed Characteristic

Explore Fedosov quantization techniques extended to positive and mixed characteristic settings in this advanced mathematical physics seminar.

• YouTube
• 1 hour 50 minutes
• Self-Paced
• Free Video

The Two Lives of the Grassmannian

Explore the dual nature of Grassmannian manifolds in this mathematical lecture by Bernd Sturmfels from U.C. Berkeley at the Fields Institute.

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

Symmetry Counts: An Introduction to Equivariant Hilbert and Ehrhart Series

Explore equivariant Hilbert and Ehrhart series in this mathematical seminar, focusing on symmetry counts and their applications in algebraic combinatorics.

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

Smooth Quot Schemes

Explore the mathematical foundations of Smooth Quot schemes with Gregory G. Smith in this Fields Institute seminar.

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

Self-Similarity and the Einstein Vacuum Equations - Lecture 01

Explore self-similarity principles in Einstein's vacuum equations through advanced mathematical analysis and theoretical physics applications.

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

Self-Similarity and the Einstein Vacuum Equations - Lecture 02

Explore self-similarity concepts within Einstein's vacuum equations through advanced mathematical analysis and theoretical physics applications.

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

General Relativity Winter School - Lecture 1

Discover the fundamentals of general relativity in this opening lecture from Cambridge's Zoe Wyatt at the Fields Institute Winter School.

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

General Relativity Winter School - Lecture 3

Explore Einstein's general relativity theory through advanced mathematical frameworks and spacetime geometry concepts in this specialized physics lecture.

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

Self-Similarity and the Einstein Vacuum Equations - Lecture 04

Explore self-similarity concepts within Einstein's vacuum equations through advanced mathematical analysis and theoretical physics applications.

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

General Relativity Winter School - Lecture 1

Dive into Einstein's general relativity theory with foundational concepts and mathematical frameworks in this comprehensive winter school lecture series.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

General Relativity Winter School - Lecture 2

Delve into advanced general relativity concepts through expert instruction from Universidad Michoacana, exploring fundamental principles of spacetime and gravitational physics.

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