Graph Theory Courses

ICTP Mathematics

From Knots to Number Theory I

Explore connections between quantum knot invariants and number theory, covering hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Detecting the Completeness of a Finsler Manifold via Potential Theory for Its Infinity Laplacian

Explore potential theory for infinity Laplacian to detect Finsler manifold completeness. Delve into prescribing Q-curvature equations and solution behaviors on 4-manifolds.

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

ICTP Mathematics

On the Log-Local Principle for Refined Gromov-Witten Theory

Explore the log-local principle in Gromov-Witten theory, its applications, and recent developments in refined invariants with expert Andrea Brini from the University of Birmingham.

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

ICTP Mathematics

Introduction to Geometric Control Theory - Lecture 4

Explore geometric control theory's advanced concepts, focusing on mathematical foundations and practical applications in dynamic systems and optimization.

• YouTube
• 1 hour 38 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Introduction to Geometric Control Theory - Lecture 3

Explore advanced concepts in geometric control theory, focusing on mathematical principles and applications in dynamic systems and optimization.

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

ICTP Mathematics

Introduction to Geometric Control Theory - Part II

Explore advanced concepts in geometric control theory, focusing on mathematical principles and applications in dynamic systems and optimization.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Introduction to Geometric Control Theory - Lecture 1

Explore geometric control theory fundamentals with expert Andrei Agrachev, covering key concepts and applications in this comprehensive lecture from ICTP Mathematics.

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

ICTP Mathematics

Introduction to Ergodic Theory - Lecture 5

Explore fundamental concepts and applications of ergodic theory, delving into mathematical principles that govern long-term behavior of dynamical systems.

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

ICTP Mathematics

Introduction to Ergodic Theory - Lecture 4

Explore fundamental concepts and applications of ergodic theory, delving into mathematical principles that govern long-term behavior of dynamical systems.

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

ICTP Mathematics

Introduction to Ergodic Theory - Lecture 3

Explore fundamental concepts and applications of ergodic theory, delving into mathematical principles that govern long-term behavior of dynamical systems.

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

ICTP Mathematics

Introduction to Ergodic Theory - Lecture 2

Explore fundamental concepts and applications of ergodic theory, building on previous knowledge and delving into advanced topics in dynamical systems.

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

ICTP Mathematics

Regularity Theory for Area-Minimizing Currents - Lecture 5

Explore advanced concepts in geometric measure theory, focusing on regularity theory for area-minimizing currents. Gain insights from experts De Lellis and Spadaro in this in-depth lecture.

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

ICTP Mathematics

An Introduction to Higher Teichmuller Theory - D. Canary

Explore higher Teichmuller Theory, delving into advanced mathematical concepts and their applications in geometry and topology. Gain insights from expert D. Canary in this comprehensive lecture.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

ICTP Mathematics

On Rigidity Theory for Circle Maps With Breaks - Konstantin Khanin

Explore rigidity theory for circle maps with breaks, delving into mathematical concepts and their applications in this advanced mathematics lecture by Konstantin Khanin.

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

ICTP Mathematics

Applications of Homogeneous Dynamics - From Number Theory to Statistical Mechanics - Lecture 10

Explore applications of homogeneous dynamics in number theory and statistical mechanics, bridging mathematical concepts with real-world phenomena.

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