Institute for Advanced Study Courses

Understanding Deep Neural Networks - From Generalization to Interpretability

Explore deep neural networks, focusing on generalization and interpretability. Delve into graph convolutional networks, spectral filtering, and transferability. Examine fundamental questions and relevance mapping in machine learning.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

An Introduction to Boolean Function Analysis - Dor Minzer

Explore Boolean function analysis, covering influences, PCP theory, and hypercontractive inequalities. Gain insights into fundamental concepts and advanced techniques in discrete mathematics and theoretical computer science.

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

Lower Bounds in Complexity Theory, Communication Complexity, and Sunflowers - Toniann Pitassi

Explore lower bounds in complexity theory, communication complexity, and sunflowers. Delve into Boolean circuits, formulas, and key lemmas with expert insights from Toniann Pitassi.

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

Observable Events and Typical Trajectories in Dynamical Systems - Lai-Sang Young

Explore observable events and typical trajectories in dynamical systems with Lai-Sang Young, covering SRB measures, attractors, and infinite dimensional center manifolds.

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

Strong Average-Case Circuit Lower Bounds from Non-trivial Derandomization - Lijie Chen

Explore advanced topics in computational complexity, including circuit lower bounds, derandomization, and their connections. Gain insights into cutting-edge research and theoretical developments in computer science.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Proofs, Circuits, Communication, and Lower Bounds in Complexity Theory - Robert Robere

Explore advanced concepts in complexity theory, including proofs, circuits, and communication, with a focus on lower bounds and their implications for computational limits.

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

MIP* = RE - Henry Yuen

Explore quantum correlations, nonlocal games, and entanglement models in this seminar on MIP* = RE, delving into complexity theory and efficient tests for quantum phenomena.

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

Eisenstein Series and the Cubic Moment for PGL(2) - Paul Nelson

Explore Eisenstein series, cubic moments for PGL(2), and their applications in number theory. Gain insights into spectral expansions, hypergeometric functions, and improved bounds.

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

Inverse Problems for Quantum Graphs - Pavel Kurasov

Explore inverse problems for quantum graphs, covering Ambartsumian-type results, trace formulas, and implications for various graph structures. Gain insights into local inverse problems and explicit formulas.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Teasing Out the True Milky Way

Explore the structure and dynamics of our galaxy with Harvard astrophysicist Alyssa Goodman. Discover recent findings like the Radcliffe Wave and learn about innovative techniques for mapping the Milky Way.

• YouTube
• 55 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