ICTP Mathematics Courses

Quantum Fields, Strings, and Black Holes - A Primer for Non Experts, Part II - Atish Dabholkar

Explore connections between quantum black holes and number theory/geometry. Learn quantum field theory and string theory basics through examples, suitable for mathematicians and physics students with basic undergraduate physics knowledge.

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

What Are the Betti Numbers of a Manifold? - Don Zagier - 2017

Explore the concept of Betti numbers in manifolds with renowned mathematician Don Zagier, delving into their significance and applications in topology and geometry.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Towards a Multidimensional Descartes Rule (But Still Far Away) - Alicia Dickenstein - 2017

Explore multidimensional extensions of Descartes' rule of signs, examining current progress and challenges in algebraic geometry and polynomial systems.

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

An Introduction to Optimal Transport - 2017

Explore fundamental concepts of optimal transport theory, its applications, and recent developments in this mathematical field.

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

Global Warming - Scientific Evidence, Attribution, and Uncertainties - 2017

Explore scientific evidence, attribution, and uncertainties surrounding global warming with expert F. Giorgi in this comprehensive seminar on climate change.

• YouTube
• 1 hour 7 minutes
• 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