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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

Quantum Information and the Black Hole Interior II - Ahmed Almeiri

Explore quantum information's role in black hole interiors, covering key concepts like typicality, central charge, and complementarity in theoretical physics.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Complexity and Gravity III - Leonard Susskind

Explore the intricate relationship between quantum complexity and gravity with renowned physicist Leonard Susskind in this advanced theoretical physics lecture.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Toy Models for Black Holes III - Juan Maldacena

Explore advanced concepts in theoretical physics, including black hole dynamics, spacetime interactions, and quantum teleportation with renowned physicist Juan Maldacena.

• YouTube
• 1 hour 39 minutes
• Self-Paced
• Free Video

Complexity and Gravity - Leonard Susskind

Explore the connection between quantum complexity and gravity with renowned physicist Leonard Susskind, delving into concepts like quantum circuits, relative complexity, and entropy.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Many-Body Quantum Chaos - Douglas Stanford

Explore many-body quantum chaos, thermal expectations, and wave function properties in both local and nonlocal systems with insights from classical chaos theory.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Mathematics in Cryptography - Toni Bluher

Explore the mathematical foundations of cryptography, from basic ciphers to advanced concepts, with insights from a National Security Agency expert.

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

Topology and Physics - Clay Cordova with Edward Witten

Explore the intersection of topology and physics with Clay Cordova and Edward Witten, covering quantum mechanics, fermions, and topological quantum computing in this engaging discussion.

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

Maker of Patterns - An Autobiography Through Letters

Explore Freeman Dyson's life through his letters, covering his experiences at Princeton, interactions with Oppenheimer, and insights on various scientific and personal topics.

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

Studying Fluid Flows with Persistent Homology - Rachel Levanger

Explore fluid dynamics through persistent homology, uncovering patterns in complex systems like turbulence and convection. Learn topological data analysis techniques for studying fluid flows.

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

Topological Filters - A Toolbox for Processing Dynamic Signals - Michael Robinson

Explore topological filters for dynamic signal processing, covering sheaf theory, consistency radius, and applications in noise reduction, flight tracking, and musical structure extraction.

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