Institute for Advanced Study Courses

Quantum Walks and RG in de Sitter Space

Explore quantum field theory in de Sitter space through random walks, RG flow, and density matrix approaches to resolve stochastic formalism issues.

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

ER Toward Typical EPR - Constructing Generic Black Hole Microstates with Wormhole Geometries

Explore the connection between black hole microstates and wormhole geometry through Brownian matter sources, revealing a complexity=geometry relation in quantum gravity.

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

Number Theory Seminar - Advanced Topics in Arithmetic Geometry and L-Functions

Explore advanced number theory through expert lectures on L-functions, Galois representations, modular forms, and arithmetic geometry from leading mathematicians worldwide.

• YouTube
• 6 days 10 hours 57 minutes
• Self-Paced
• Free Video

Analysis and Mathematical Physics

Explore advanced mathematical physics through expert lectures on quantum systems, fluid dynamics, spectral theory, geometric analysis, and cutting-edge research from leading mathematicians and physicists.

• YouTube
• 3 days 8 hours 42 minutes
• Self-Paced
• Free Video

Symplectic Geometry Seminar

Explore advanced symplectic geometry through expert lectures covering Floer theory, contact topology, Hamiltonian dynamics, and mirror symmetry from leading researchers.

• YouTube
• 5 days 18 hours 24 minutes
• Self-Paced
• Free Video

Computer Science and Discrete Mathematics

Explore advanced topics in discrete mathematics and theoretical computer science through expert lectures on algorithms, complexity theory, cryptography, and combinatorics.

• YouTube
• 1 month 1 day 20 hours 49 minutes
• Self-Paced
• Free Video

Arithmetic Geometry Seminar - Advanced Topics in p-adic Geometry and Algebraic Number Theory

Explore cutting-edge research in arithmetic geometry through expert presentations on p-adic Hodge theory, moduli spaces, and geometric Langlands correspondence.

• YouTube
• 1 day 5 hours 45 minutes
• Self-Paced
• Free Video

Combinatorics of Fundamental Physics Workshop

Explore advanced mathematical structures connecting combinatorics with fundamental physics through expert lectures on amplitudes, correlators, and geometric frameworks.

• YouTube
• 18 hours 20 minutes
• Self-Paced
• Free Video

Geometry of Matroids Workshop

Explore advanced geometric structures and tropical methods in matroid theory through expert lectures on delta-matroids, quiver representations, and moduli spaces.

• YouTube
• 15 hours 29 minutes
• Self-Paced
• Free Video

Prospects in Theoretical Physics 2024 - Ultra-Quantum Matter

Explore cutting-edge theoretical physics concepts including moiré materials, quantum geometry, non-invertible symmetries, and tensor networks through expert lectures from leading researchers.

• YouTube
• 1 day 14 hours 6 minutes
• Self-Paced
• Free Video

Algebraic Geometry Seminar - Drinfeld's Lemma, Moduli Spaces, Hodge Theory, and Geometric Langlands

Explore advanced algebraic geometry through expert lectures on Drinfeld's lemma, moduli spaces, Hodge theory, Chow motives, and the Geometric Langlands Conjecture.

• YouTube
• 5 hours 1 minute
• Self-Paced
• Free Video

Special Year Workshop on p-adic Arithmetic Geometry

Explore cutting-edge research in p-adic arithmetic geometry through expert lectures on motivic cohomology, Hodge theory, prismatic crystals, and Shimura varieties.

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

Arithmetic Groups - Advanced Topics in Rigidity, Cohomology, and Dynamics

Explore advanced topics in arithmetic groups including rigidity theorems, congruence subgroups, bounded generation, and connections to dynamics and geometry.

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

Spacetime and Quantum Information Workshop 2023

Explore cutting-edge research connecting spacetime geometry with quantum information theory through expert presentations on black holes, holography, and gravitational systems.

• YouTube
• 14 hours 15 minutes
• Self-Paced
• Free Video

Fall Workshop on p-adic Arithmetic Geometry

Explore advanced topics in p-adic arithmetic geometry through expert lectures on Frobenius structures, Simpson correspondence, prismatic cohomology, and Shimura varieties.

• YouTube
• 18 hours 6 minutes
• Self-Paced
• Free Video