Institute for Advanced Study Courses

Some Disassembly Required - Destructive Processes in Planetary Systems

Explore planetary system formation through destructive processes, examining super-Earths, debris disks, meteorites, and disintegrating planets with Eugene Chiang.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Energy Dissipation of Navier-Stokes Equation with Non-Characteristic Boundary

Explore energy dissipation in Navier-Stokes equations with non-characteristic boundaries, presented by Jincheng Yang from the Institute for Advanced Study.

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

Elliptic Regularity and Singularity

Explore elliptic regularity and singularity in mathematics with Federico Franceschini's concise talk, gaining insights into advanced mathematical concepts and their applications.

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

Stability of Geometric Inequalities: Continuous and Discrete Perspectives

Explore geometric inequalities from continuous and discrete perspectives, focusing on stability in various mathematical contexts.

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

How Efficiently Can We Solve Unique Games? - Lecture

Explore the computational complexity of Unique Games and their efficient solutions in this insightful talk by Yotam Dikstein.

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

Singularities of Constructible Sheaves

Explore advanced mathematical concepts in constructible sheaves and their singularities, delving into complex algebraic geometry and topology.

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

Recent Advances in Dynamic Graph Algorithms

Explore recent advancements in dynamic graph algorithms, focusing on efficient data structures and techniques for handling evolving network structures.

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

Expanders and Property Testing

Explore expanders and property testing in graph theory, focusing on their applications and connections to theoretical computer science.

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

The Orlik-Terao Algebra and a Surprising Duality

Explore the Orlik-Terao algebra and uncover a surprising duality in mathematics with insights from postdoctoral research.

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

Swallowed Kashiwara Crystals by Accident

Explore Kashiwara crystals and their accidental ingestion in this intriguing mathematical talk by Xiao Wang from the Institute for Advanced Study.

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

From Kepler to the Habitable Worlds Observatory: The Emerging Picture of Planet Populations

Explore exoplanet demographics, from Kepler's Earth-like planet discoveries to NASA's Habitable Worlds Observatory, and learn about K2 and TESS's role in expanding our understanding of occurrence rates.

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

Spectral Gap of the Laplacian for Random Hyperbolic Surfaces - Part 2

Explore spectral gap of Laplacian for random hyperbolic surfaces using trace method and asymptotic expansions in large genus limit. Analyze Weil-Petersson measure and Friedman-Ramanujan property.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

The Complex Liouville String - Introduction to a New 2D Gravity/Matrix Integral Duality

Explore a new 2D gravity/matrix integral duality through the complex Liouville string, connecting two-dimensional string theory with dilaton gravity and cosmological correlators in dS3.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Quantum Position Verification - Another Link Between Holography and Quantum Information

Explore quantum position verification and its connection to holography in this advanced seminar, delving into cutting-edge research at the intersection of quantum information and physics.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Supermassive Black Holes from AU to Megaparsec - Fundamentally New Physics in Accretion Disks

Explore groundbreaking simulations revealing new insights into supermassive black hole formation, growth, and impact on galaxies. Discover novel accretion modes challenging traditional theories in astrophysics.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video