ICTP Mathematics Courses

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

Thermodynamic Formalism in Holomorphic Dynamics - Part I

Explore the principles of thermodynamic formalism applied to holomorphic dynamics in this mathematical lecture by Fabrizio Bianchi and Mary Yan He.

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

Kontsevich Invariants from Configuration Spaces - Lecture 1

Explore Kontsevich invariants through configuration spaces in this mathematical lecture by Jianfeng Lin and Danica Kosanović.

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

Lefschetz Fibrations and Closed Exotic 4-Manifolds - Lecture 1

Explore the mathematical concepts of Lefschetz fibrations and their applications in understanding closed exotic 4-manifolds in this advanced mathematics lecture.

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

Real Seiberg-Witten Theory - Lecture 1

Delve into Real Seiberg-Witten theory with speakers Hokuto Konno and Ian Montague as they explore this advanced mathematical concept in theoretical physics.

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

Skein Lasagna Modules - Part 1

Explore the mathematical concepts of skein lasagna modules with experts Mike Willis and Melissa Zhang in this ICTP Mathematics presentation.

• YouTube
• 44 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

On the Equality of Test Ideals

Explore the mathematical concept of test ideals and their equality, delving into advanced algebraic theory with insights from a renowned expert.

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

F-rationality of Rees Algebras

Explore F-rationality in Rees Algebras with M. Kummini, delving into advanced algebraic concepts and their applications in mathematical research.

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

Castelnuovo-Mumford Regularity of Powers of an Idea

Explore the mathematical concept of Castelnuovo-Mumford regularity and its application to powers of ideals in algebraic geometry, presented by expert L.T. HOA from Vietnam's Institute of Mathematics.

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

Tight Closure

Explore prime characteristic algebraic geometry and commutative algebra, focusing on tight closure theory and its applications in mathematics research.

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

Hilbert-Samuel Coefficients of Frobenius Powers of an Ideal

Explore Hilbert-Samuel coefficients and their relationship to Frobenius powers of ideals in this advanced mathematical lecture by A. Banerjee from IIT Kharagpur.

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