ICTP Mathematics Courses

Unstable Entropy in Smooth Ergodic Theory - Part II

Delve into advanced concepts of unstable entropy within the framework of smooth ergodic theory and its mathematical applications.

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

Aperiodic Classes of C1-Generic Diffeomorphisms

Explore aperiodic classes in C1-generic diffeomorphisms through advanced mathematical analysis and theoretical frameworks in this specialized mathematics lecture.

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

Lefschetz Fibrations and Closed Exotic 4-Manifolds

Explore advanced techniques in 4-dimensional topology through Lefschetz fibrations and their role in constructing exotic smooth structures on closed 4-manifolds.

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

Real Seiberg-Witten Theory 4

Explore advanced concepts in Real Seiberg-Witten theory through expert mathematical analysis and theoretical developments in this specialized topology seminar.

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

Skein Lasagna Modules - Part 4

Explore advanced skein lasagna modules through expert mathematical analysis and theoretical frameworks in this specialized topology session.

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

Skein Lasagna Modules - 3

Explore advanced skein lasagna modules through expert mathematical analysis and theoretical frameworks in this specialized topology seminar.

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

Real Seiberg-Witten Theory - Lecture 3

Explore advanced concepts in Real Seiberg-Witten theory through expert mathematical analysis and theoretical frameworks in this specialized lecture.

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

Kontsevich Invariants from Configuration Spaces - 2

Explore advanced mathematical concepts connecting Kontsevich invariants to configuration spaces through expert analysis and theoretical frameworks.

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

Lefschetz Fibrations and Closed Exotic 4-Manifolds - 2

Explore advanced techniques in 4-dimensional topology through Lefschetz fibrations and their role in constructing exotic smooth structures on closed 4-manifolds.

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

Real Seiberg-Witten Theory - 2

Explore advanced concepts in Real Seiberg-Witten theory through expert mathematical analysis and theoretical developments in this specialized topology seminar.

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

Skein Lasagna Modules - 2

Explore advanced skein lasagna modules through expert mathematical analysis and theoretical frameworks in this specialized topology seminar.

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

Entropy Growth Argument for Bernoulli Convolution

Explore entropy growth arguments and their application to Bernoulli convolution theory through advanced mathematical analysis and theoretical frameworks.

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

Absolute Continuity of Stationary Measures

Explore the mathematical concept of absolute continuity as it applies to stationary measures in this advanced probability theory lecture.

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

The Calabi Problem

Explore the Calabi problem connecting differential and algebraic geometry, focusing on Kähler-Einstein metrics and recent advances through birational geometry connections.

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

Gauge Theories and Differential Invariants - Recent Developments in Mathematics and Physics

Explore advanced gauge theories connecting theoretical physics and mathematics through Donaldson invariants, supersymmetric quantum field theories, and differential geometry applications.

• YouTube
• 20 hours 31 minutes
• Self-Paced
• Free Video