Institute for Advanced Study Courses

The Isoperimetric Problem in Cubes and Torii

Explore the isoperimetric problem in cubes and torii, delving into geometric principles and mathematical concepts with Federico Glaudo's insightful analysis.

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

Arithmetic Quantum Unique Ergodicity for Hyperbolic Manifolds

Explore quantum unique ergodicity in hyperbolic manifolds, focusing on arithmetic aspects and their implications in mathematical physics and number theory.

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

Additive Structures in Subset Sums, Non-Averaging Sets and Convex Geometry

Explore additive structures in subset sums, non-averaging sets, and convex geometry with insights from postdoctoral research in advanced mathematics.

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

Gröbner Objects in Schubert Calculus

Explore Gröbner objects and their applications in Schubert calculus, delving into advanced algebraic geometry concepts.

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

KP Solutions from Algebraic Curves and the Positive Grassmannian

Explore KP solutions derived from algebraic curves and the positive Grassmannian in this advanced mathematical talk by Yelena Mandelshtam.

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

Chow Polynomials of Matroids

Explore the intriguing world of Chow polynomials in matroid theory with Luis Ferroni's concise presentation on this advanced mathematical concept.

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

K-Theory and Dualizable Categories

Explore K-theory and dualizable categories with Grigory Andreychev, delving into advanced mathematical concepts and their applications in theoretical physics.

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

Microlocalization and General Linear Combinations

Explore advanced mathematical concepts of microlocalization and general linear combinations in this concise talk by Bradley Dirks from the Institute for Advanced Study.

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

Non Abelian Hodge Theory in Positive Characteristic

Explore non-abelian Hodge theory in positive characteristic with Siqing Zhang, delving into advanced mathematical concepts and their applications.

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

Non-Invertible Symmetries, Boundary Conditions, and Topological Field Theory

Explore non-invertible symmetries and boundary conditions in quantum field theories, focusing on 1+1d conformal field theories and their applications in various physics phenomena.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Intensity Interferometry for Sub-Microarcsecond Resolution in AGN Observations

Explore intensity interferometry for sub-microarcsecond resolution in optical telescopes, focusing on applications for active galactic nuclei observations and potential impacts on astrophysics research.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

The Cosmic Quest for Neutrino Mass

Explore the cosmic impact of neutrino mass, from early Universe roles to current experiments. Uncover physical effects, dataset peculiarities, and novel astrophysical probes in the quest to detect relic neutrinos.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Derived Categories of Permutahedral Varieties Through Matroids

Explore derived categories of permutahedral varieties using matroid theory, uncovering connections between algebraic geometry and combinatorics.

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

The Mysterious Kronecker Coefficients in Algebraic Combinatorics

Explore the enigmatic Kronecker coefficients, their significance in algebraic combinatorics, and recent developments in positivity, asymptotics, and computational complexity.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Characterizations of PAC Learnability

Explore key characterizations of PAC learnability in machine learning theory with insights from postdoctoral researcher Nataly Brukhim.

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