Graph Theory Courses

IMSA

Geometry of Relativistic Hydrodynamics - Intersection Theory and Lagrangian Manifolds

Delve into the geometric reformulation of relativistic hydrodynamics through intersection theory, exploring Lichnerowicz and Carter's work with coisotropic and Lagrangian branes.

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

IMSA

Exponential Homotopy Theory and Algebraic Varieties

Delve into exponential homotopy theory, exploring algebraic varieties, singularities of potentials, and the concept of strictly symmetric monoidal infinity-categories in modern mathematics.

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

Institute for Advanced Study

Sharp Selector Processes and Their Applications in Optimization Theory

Delve into advanced stochastic processes, exploring Talagrand's selector process conjecture and its connections to combinatorics, optimization problems, and threshold phenomena in computer science.

• YouTube
• 2 hours 11 minutes
• Self-Paced
• Free Video

UofU Data Science

Computational Learning Theory and PAC Learning Models - Lecture 11

Explore formal models of learnability and the PAC learning framework to understand theoretical foundations of machine learning algorithms and their capabilities.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Lattice Theory of Noncrossing Partitions and Noncrossing Arc Diagrams - Lecture 3

Delve into advanced lattice theory concepts, exploring connections between Coxeter-Catalan combinatorics, representation theory, and dynamics through noncrossing partitions and arc diagrams.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Shifted Substitution in Non-Commutative Multivariate Power Series with Applications to Free Probability Theory

Delve into advanced mathematical concepts of non-commutative power series, exploring group laws, pre-Lie structures, and their applications in Voiculescu's free probability theory.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Non-crossing Partitions and Combinatorics: From Random Matrices to Free Probability Theory - Part 3

Delve into advanced combinatorics of maximal chains in non-crossing partition lattices, exploring connections between parking functions and Tamari lattice mathematics.

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

Institute for Pure & Applied Mathematics (IPAM)

Strong Convergence in Random Matrix Theory - Part 2

Delve into advanced concepts of strong convergence in random matrices, exploring applications in operator algebras, geometry, and random graphs through Princeton expert Ramon van Handel's analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

Strong Convergence in Random Matrix Theory - Part 1

Delve into strong convergence theory and its applications in random matrices, operator algebras, and geometry through Princeton expert Ramon van Handel's comprehensive mathematical exploration.

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

Institute for Pure & Applied Mathematics (IPAM)

Introduction to 1-Bounded Entropy Theory and Random Matrices - Part 2

Delve into advanced mathematical concepts of 1-bounded entropy theory, exploring its relationship to Voiculescu's free entropy dimension and the Peterson-Thom conjecture in von Neumann algebras.

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

Institute for Pure & Applied Mathematics (IPAM)

Introduction to 1-Bounded Entropy Theory and Random Matrices - Part 1

Delve into 1-bounded entropy theory and its connection to the Peterson-Thom conjecture, exploring modifications of Voiculescu's free entropy dimension and its applications in von Neumann algebra.

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

Institute for Pure & Applied Mathematics (IPAM)

Free Entropy Theory: Applications and Open Problems in Free Probability

Delve into advanced concepts of free probability theory, exploring entropy analogues, applications, and unsolved problems in mathematics with Berkeley professor Dan-Virgil Voiculescu.

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

Kavli Institute for Theoretical Physics

The Joy of Axion Theory: Part 2

Delve into the second part of "The Joy of Axion Theory" lecture by Anson Hook, exploring advanced concepts in particle physics as part of KITP's "What is Particle Theory?" program that bridges formal, computational, and phenomenological approaches.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Kavli Institute for Theoretical Physics

The Joy of Axion Theory: Part 1

Dive into the fundamentals of axion theory with physicist Anson Hook in this first part of "The Joy of Axion Theory" lecture series from the KITP Program on particle physics developments and theoretical progress.

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

Sundeep Saradhi Kanthety

Graph Coloring in Discrete Mathematics - n-Coloring Graph, Chromatic Number

Explore graph coloring concepts in discrete mathematics, including n-coloring, chromatic number, and their applications in solving complex mathematical problems.

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