Institut des Hautes Etudes Scientifiques (IHES) Courses

Point-Counting and the Zilber-Pink Conjecture - Lecture 1

Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.

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

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 6

Explore modern techniques for analyzing flows of irregular vector fields, with applications to fluid dynamics and turbulence theory. Gain insights into nonlinear PDEs and Euler/Navier-Stokes equations.

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

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 5

Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.

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

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 4

Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.

• YouTube
• 1 hour 54 minutes
• Self-Paced
• Free Video

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 3

Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.

• YouTube
• 1 hour 47 minutes
• Self-Paced
• Free Video

Asymptotic Structure of Gravity and BMS Group at Spatial Infinity - Lecture 2

Explore asymptotic gravity structure at spatial infinity, BMS charges algebra, and connections to null infinity in this advanced theoretical physics lecture.

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

Asymptotic Structure of Gravity and BMS Group at Spatial Infinity - Part 1

Explore asymptotic structure of gravity, BMS charges, and angular momentum in asymptotically flat spacetimes using Hamiltonian methods at spatial infinity.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

Analytic Stacks: New Foundations for Analytic Geometry - Lecture 24

Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with Peter Scholze.

• YouTube
• 1 hour 54 minutes
• Self-Paced
• Free Video

Generic Regularity in Obstacle Problems

Explore the classical obstacle problem, its free boundary, and recent developments in regularity theory with insights from renowned mathematician Alessio Figalli.

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

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 2

Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.

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

Analytic Stacks: New Foundations for Analytic Geometry

Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.

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

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 1

Explore modern concepts in flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics and turbulence theory.

• YouTube
• 1 hour 46 minutes
• Self-Paced
• Free Video

Stacks in the p-adic Hodge Theory of Rigid Analytic Spaces

Explore advanced concepts in p-adic Hodge theory and rigid analytic spaces, focusing on new geometric objects beyond diamonds in analytic geometry.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Modularity of Abelian Surfaces

Explorez la preuve de la modularité d'une proportion positive de surfaces abéliennes sur les rationnels dans cette conférence mathématique avancée.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Stable Homotopy Groups, Higher Algebra, and the Telescope Conjecture

Explore stable homotopy groups, spectra, and their applications in topology and geometry. Gain insights into fundamental concepts shaping modern algebraic topology and related fields.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video