Institute for Advanced Study Courses

Quasipolynomial Bounds for Some Problems in Extremal Combinatorics

Explore quasipolynomial bounds in extremal combinatorics with Zander Kelley, examining key problems and recent advancements in this mathematical field.

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

Homotopy Rigidity of Nearby Lagrangian Fibers

Explore homotopy rigidity of nearby Lagrangian fibers in this advanced mathematical talk by Yash Deshmukh, delving into complex geometric structures and topological relationships.

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

Top Heaviness in Combinatorics and Geometry

Explore top heaviness in combinatorics and geometry, examining its applications and implications in mathematical research.

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

Trees, Self Dual Gravity, and Gravity MHV Amplitudes - Lecture on Lw1+infinity Algebra

Explore self-dual metrics, tree diagrams, and their connection to graviton MHV scattering in Einstein gravity. Delve into the NSVW tree formula and Lw1+infinity algebra applications.

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

A New Approach to Strong Convergence - Lecture 1

Explore a novel approach to strong convergence in graph theory, addressing Alon's conjecture and extending Friedman's theorem with applications to random graphs, geometry, and operator algebras.

• YouTube
• 2 hours 7 minutes
• On-Demand
• Free Video

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video