ICTP Mathematics Courses

Hopf-Galois Extensions and Applications

Explore Hopf-Galois theory, its applications in field extensions, and arithmetic properties derived from algebraic curves. Gain insights into this generalization of classical Galois theory.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Analysis Seminar - Up to the Boundary Gradient Estimates in Bernoulli Type Free Boundary Problems

Explore recent advances in gradient estimates for viscosity solutions of free boundary problems, featuring new Inhomogeneous Pucci Barriers and innovative proof techniques inspired by Harmonic Analysis.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

School Play Based on Ramanujan

Theatrical performance inspired by the life of mathematician Srinivasa Ramanujan, produced by high school students in collaboration with ICTP Mathematics.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Limits of Limit Sets - MJ Mahan

Explore the mathematical concept of limit sets and their boundaries in this advanced lecture, delving into complex theories and applications in topology and geometry.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Ramanujan Prize Ceremony 2015

Explore the prestigious Ramanujan Prize and its significance in mathematics during this engaging lecture, highlighting exceptional contributions to the field.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Holomorphic Geometric Structures on Parallelizable Manifolds - S. Dumitrescu

Explore holomorphic geometric structures on parallelizable manifolds, delving into advanced mathematical concepts and their applications in complex geometry.

• YouTube
• 59 minutes
• On-Demand
• Free Video

The Einstein Universe - V. Charette

Explore Einstein's revolutionary theories and their impact on our understanding of the universe in this engaging lecture by V. Charette.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Volume of Closed Anti-De Sitter 3-Manifolds - N. Tholozan

Explore the mathematical intricacies of closed anti-de Sitter 3-manifolds, focusing on their volume properties and related geometric concepts.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Conjugation Classes of Pairs in SL-4,C- and SU-3,1- - K. Gongopadhyay

Explore conjugation classes of pairs in SL(4,C) and SU(3,1) matrices, delving into advanced mathematical concepts and their applications in linear algebra and group theory.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Marked Length Spectral Rigidity for Flat Metrics - C. Leininger

Explore marked length spectral rigidity in flat metrics with C. Leininger, delving into advanced mathematical concepts and their applications in geometry and topology.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Geometric Structure on Complex Curves and Algebraic Differential Equations - A. Guillot

Explore geometric structures on complex curves and their connections to algebraic differential equations in this advanced mathematics lecture by A. Guillot.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Do Limit Sets Move Continuously? - C. Series

Explore the continuity of limit set movement in dynamical systems, examining mathematical concepts and their implications for understanding complex behaviors.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

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
• On-Demand
• Free Video

Complex Dynamics and Character Varieties - Lecture 1

Explore complex dynamics and character varieties in mathematics, delving into advanced concepts and their applications in this comprehensive lecture.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Windows, Cores, and Skinning Maps - K. Bromberg

Explore the mathematical concepts of windows, cores, and skinning maps in this advanced lecture by K. Bromberg, delving into their properties and applications in topology.

• YouTube
• 58 minutes
• On-Demand
• Free Video