Institute for Advanced Study Courses

Existence Theory of Minimal Hypersurfaces - Fernando Marquez

Explore the existence theory of minimal hypersurfaces, covering minimax theorems, space of cycles, and volume spectrum. Gain insights into Ricci curvature and generic metrics.

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

On Voevodsky's Univalence Principle - André Joyal

Explorez le principe d'univalence de Voevodsky avec André Joyal, examinant ses implications pour la théorie des types et les catégories dans cette conférence commémorative approfondie.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Univalence from a Computer Science Point-of-View - Dan Licata

Explore univalence in computer science with Dan Licata, covering Martin-Löf type theory, computation, and applications in homotopy theory and group structures.

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

Univalent Foundations and the Equivalence Principle - Benedikt Ahrens

Explore univalent foundations and the equivalence principle in mathematics, covering type theory, dependent types, and their applications to structures like monoids and categories.

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

Galois, Grothendieck and Voevodsky - George Shabat

Explore the mathematical legacies of Galois, Grothendieck, and Voevodsky, focusing on their contributions to group theory, algebraic geometry, and category theory, with insights into dessins d'enfants and Belyi pairs.

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

On the Gradient-Flow Structure of Multiphase Mean Curvature Flow - Tim Laux

Explore the gradient-flow structure of multiphase mean curvature flow, covering theoretical aspects, previous work, and key concepts in this advanced mathematical analysis seminar.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

The H-Principle in Symplectic Geometry - Emmy Murphy

Explore symplectic geometry's h-principle with Emmy Murphy, covering equivalence relations, subharmonic functions, and contact structures in this advanced mathematical seminar.

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

The Nonlinear Stability of the Schwarzschild Metric Without Symmetry - Mihalis Dafermos

Explore the nonlinear stability of the Schwarzschild metric in general relativity, covering key concepts, theorems, and challenges in mathematical physics and black hole dynamics.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

What Is the Value of the Humanities? How We Read -and Write- Today - Suzanne Akbari

Explore the value of humanities through reading practices, emphasizing the importance of vocal engagement and global literature in expanding our understanding of texts and cultures.

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

Treelike Geometries and Fast Scrambling from Nonlocal Spin Models - Gregory Bentsen

Explore treelike geometries and fast scrambling in nonlocal spin models, delving into quantum spacetime, artificial spacetime, and optical cavities with numerical simulations and experimental insights.

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

Random Quantum Circuits, Phase Transitions and Complexity - Aram Harrow

Explore quantum complexity, random circuits, and phase transitions in higher dimensions, with applications to tensor networks and simulation algorithms.

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

Black Hole Coarse Graining, Connes-Cocycle Flow, and Its Bulk Dual - Raphael Bousso

Explore black hole coarse graining, Connes-Cocycle flow, and its bulk dual in this advanced physics lecture, delving into entanglement wedge complementarity and ensemble interpretation.

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

Mathematical Models of Human Memory - Michail Tsodyks

Explore mathematical models of human memory, covering simplification, recall capacity, experiments, and recognition tests, with insights on memory dynamics and cognitive processes.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Convergence of Nearest Neighbor Classification - Sanjoy Dasgupta

Explore nearest neighbor classification's convergence, consistency, and accuracy rates in various spaces, with insights on smoothness conditions and adaptive classifiers.

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

High Dimensional Expansion and Error Correcting Codes - Irit Dinur

Explore high-dimensional expansion, error-correcting codes, and their connections. Delve into expansion constructions, property testing, and revolution complexes with expert Irit Dinur.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video