Graph Theory Courses

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 7

Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 6

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 5

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.

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

Fields Institute

Approximation Theory of Deep Learning from the Dynamical Viewpoint

Explore deep learning approximation theory from a dynamical perspective, covering supervised learning, universal approximation, sequence modeling, and insights on various neural network architectures.

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

Fields Institute

Why Interference Phenomena Do Not Capture the Essence of Quantum Theory

Explore why interference phenomena fail to fully encapsulate quantum theory's essence, challenging common misconceptions and deepening understanding of quantum mechanics.

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

Fields Institute

Introduction to Cosmological Perturbation Theory

Explore the foundations of cosmological perturbation theory, examining how small fluctuations in the early universe evolved into large-scale structures we observe today.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Fields Institute

A Nonsmooth Approach to Einstein's Theory of Gravity

Explore a novel nonsmooth approach to Einstein's theory of gravity, delving into advanced concepts in physics and geometry with expert Robert McCann.

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

Fields Institute

Weights in Homotopy Theory

Explore the concept of weights in homotopy theory, examining their applications and implications for arithmetic and geometric studies in mathematics.

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

Fields Institute

The Mod -p,v1- Motivic Filtration on the Topological Cyclic Homology of Topological K-Theory

Explore the mod (p,v1) motivic filtration on topological cyclic homology of K-theory, delving into advanced concepts in homotopy theory and its applications to arithmetic and geometry.

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

Fields Institute

On the K-Theory of Z-P^n

Explore the intricate world of K-theory and its applications to Z/p^n, delving into advanced mathematical concepts and their implications in arithmetic and geometry.

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

Fields Institute

The Absolute Model Companionship Spectrum of a Mathematical Theory and the Continuum Problem

Explore the Continuum problem and mathematical theory's Model Companionship Spectrum with Matteo Viale, delving into existentially closed models and absolute model companionship concepts.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Fields Institute

Applications of O-minimality to Hodge Theory - Lecture 6

Explore advanced concepts in o-minimality and their applications to Hodge Theory in this graduate-level lecture by Jacob Tsimerman from the University of Toronto.

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

Fields Institute

Applications of O-minimality to Hodge Theory - Lecture 1

Explore o-minimality's applications in Hodge Theory, delving into advanced mathematical concepts and their interconnections in this graduate-level lecture by Jacob Tsimerman.

• YouTube
• 1 hour 41 minutes
• Self-Paced
• Free Video

Fields Institute

Tame Control Theory - Lecture 5

Explore advanced concepts in tame control theory, focusing on phenomena over real fields. Delve into graduate-level mathematical analysis and applications.

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