Institute for Advanced Study Courses

Locally Testable Codes with Constant Rate, Distance, and Locality, Part I - Irit Dinur

Explore locally testable codes with constant rate, distance, and locality. Learn about a new construction based on left-right Cayley complexes, addressing an open question in coding theory.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

An Introduction to Determinantal Point Processes - John C Urschel

Explore determinantal point processes: definition, examples, and applications in random matrix theory, combinatorics, and machine learning. Survey key results and open questions.

• YouTube
• 2 hours 10 minutes
• On-Demand
• Free Video

Quantum Circuits, Cellular Automata and Tensor Networks - Ignacio Cirac

Explore quantum circuits, cellular automata, and tensor networks, focusing on their representations, entanglement properties, and generalizations to quantum channels and measurement-assisted dynamics.

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

Gauge Theory and the Analytic Approach to Geometric Langlands - Edward Witten

Explore gauge theory's role in geometric Langlands correspondence, comparing categorical and analytic approaches through quantum states, operators, and gauge theory interpretations.

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

An Unexpected Small Divisors Instability in General Relativity - Christoph Kehle

Explore an unexpected instability in general relativity, focusing on small divisors and their impact on predictability and uniqueness in gravitational systems.

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

The Quantum Phases of Matter VI - Antiferromagnetism and Superconductivity in the Electron Hubbard Model

Explore antiferromagnetism and superconductivity in the electron Hubbard model with Harvard physicist Subir Sachdev, covering quantum states, symmetry breaking, and doping in this advanced lecture.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Linear Spaces of Matrices - Avi Wigderson

Explore linear spaces of matrices with Avi Wigderson, covering motivations, structural results, algorithms, and open problems in mathematics and computer science.

• YouTube
• 2 hours 13 minutes
• On-Demand
• Free Video

Celestial Operator Product Expansions and W1+Infinity Symmetry for All Spins - Monica Pate

Explore celestial operator product expansions, w1+infinity symmetry, and their implications for massless particles of all spins in gravitational theories and high-energy physics.

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

The Quantum Phases of Matter I - Survey of Experiments

Explore quantum phases of matter through experiments, covering topics like Fermi surfaces, insulators, and symmetry breaking. Gain insights into critical points and long-range entanglement in various lattice structures.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Video

The P-Spin Glass Model - A Holographer's Perspective

Explore the p-spin glass model's quantum mechanics, chaos, and holographic implications through analytical solutions and real-time dynamics in this advanced physics seminar.

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

On the Spatial Restricted Three-Body Problem - Agustin Moreno

Explore the spatial restricted three-body problem, global hypersurfaces, and Hamiltonian return maps. Learn about a higher-dimensional Poincaré-Birkhoff theorem and its applications to orbital dynamics.

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

Local Dissipation of Energy for Continuous Incompressible Euler Flows - Phillip Isett

Explore continuous solutions to incompressible Euler equations exhibiting local energy dissipation, addressing Onsager's conjecture and its implications for hydrodynamic turbulence.

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

Quantum Computing and the Difficulty of Simulating Quantum Many-Body Systems - Ignacio Cirac

Explore quantum computing's potential in simulating complex many-body systems, discussing algorithms, advantages, and challenges in dynamics, ground states, and finite temperature calculations.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Representation Theory & Combinatorics of the Symmetry Group and Related Structures - Monica Vazirani

Explore symmetry group representation theory and combinatorics, focusing on cycle notation, permutations, and linearization techniques for advanced mathematical analysis.

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

Superstring Amplitudes in Genus 0 and Double Copy - Francis Brown

Explore superstring amplitudes, double copy theory, and related mathematical concepts in this advanced physics seminar by Francis Brown from Oxford University.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video