ICTP Mathematics Courses

Tautological Rings of Moduli Spaces of Curves - Lecture 3

Explore advanced concepts in algebraic geometry, focusing on tautological rings and their relation to moduli spaces of curves in this in-depth mathematical lecture.

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

Cluster Algebras and Mirror Symmetry - Lecture 2

Explore connections between cluster algebras and mirror symmetry in algebraic geometry, delving into advanced mathematical concepts and their applications.

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

Cluster Algebras and Mirror Symmetry - Lecture 1

Explore the intricate connection between cluster algebras and mirror symmetry in mathematics, delving into advanced concepts and their applications in algebraic geometry.

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

Stable Pair Invariants and Derived Categories - Lecture 1

Explore stable pair invariants and derived categories in mathematics with expert Y. Toda in this comprehensive lecture from ICTP Mathematics.

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

Knot Homology and Sheaves on the Hilbert Scheme of Points on the Plane - A. Oblomkov

Explore advanced mathematical concepts connecting knot theory, homology, and algebraic geometry on the Hilbert scheme of points in the plane.

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

Center-Unstable Foliations Do Not Have Compact Leaves - Jana Rodriguez-Hertz

Explore the intricacies of center-unstable foliations and their non-compact leaf structures in dynamical systems, presented by Jana Rodriguez-Hertz.

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

On the Robustness of Intermingled Basins - Rual Ures

Explore the mathematical concept of intermingled basins and their robustness in dynamical systems, focusing on recent developments and applications in this field.

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

Continuity of Entropy Map for Nonuniformly Hyperbolic Systems - Wenxiang Sun

Explore the mathematical concept of entropy continuity in nonuniformly hyperbolic systems, delving into advanced theoretical frameworks and their applications.

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

Recurrence on Infinite Cyclic Covering - Albert Fathi

Explore recurrence phenomena on infinite cyclic coverings with Albert Fathi, delving into advanced mathematical concepts and their applications in topology and dynamical systems.

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

Measure and Smooth Rigidity of Lattice Actions in Low Dimensions - Federico Rodriguez-Hertz

Explore measure and smooth rigidity of lattice actions in low dimensions with Federico Rodriguez-Hertz, delving into advanced mathematical concepts and their applications.

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

The Ergodic Properties of the Kusuoka Measure - Mark Pollicott

Explore ergodic properties of the Kusuoka measure with mathematician Mark Pollicott, delving into advanced concepts and theoretical insights in this mathematical lecture.

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

Renormalization in Low Dimensional Dynamics - Lecture 1

Explore renormalization techniques in low-dimensional dynamical systems, focusing on theoretical foundations and practical applications in mathematical analysis.

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

Expansive Models - Rafael Oswaldo Ruggiero Rodriguez

Explore expansive dynamical systems and their applications in geometry and topology, focusing on key concepts and recent developments in the field.

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

Holder Regularity of Solutions of the Cohomological Equations for IET's - Stefano Marmi

Explore Hölder regularity in cohomological equations for interval exchange transformations, delving into mathematical concepts and their applications in dynamical systems theory.

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

Diffusion of Wind-Tree Billiards and Lyapunov Exponents of the Hodge - Anton Zorich

Explore wind-tree billiards diffusion and Hodge Lyapunov exponents in this advanced mathematics lecture by Anton Zorich, delving into complex dynamical systems and geometric analysis.

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