Institute for Advanced Study Courses

Singularities of Teichmueller Harmonic Map Flow - Melanie Rupflin

Explore singularities in Teichmueller harmonic map flow, covering gradient flow, conformity, symmetries, and rescaled flow behavior in this advanced mathematical analysis.

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

Successes and Challenges in Neural Models for Speech and Language - Michael Collins

Explore neural models' impact on speech and language processing, examining successes, challenges, and key architectures in parsing, word embeddings, and transformers.

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

Reproducible, Reusable, and Robust Reinforcement Learning - Joelle Pineau

Explore reproducibility, reusability, and robustness in reinforcement learning. Delve into policy gradient methods, hyperparameter interplay, fair comparisons, and real-world applications of RL algorithms.

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

The Epistemology of Deep Learning - Yann LeCun

Explore deep learning's scientific foundations with Yann LeCun, examining its biological inspirations, historical development, and theoretical underpinnings in pattern recognition and neural networks.

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

Troubling Trends in ML Scholarship - Zachary Lipton

Exploration of concerning trends in machine learning research, examining the balance between empirical and theoretical approaches, and discussing potential solutions for improving scientific rigor.

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

Brief Introduction to Deep Learning and the "Alchemy" Controversy - Sanjeev Arora

Explore deep learning's scientific foundations and the "Alchemy" debate, examining optimization, overfitting, and the interpreter problem in neural networks.

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

Elliptic Measures and the Geometry of Domains - Zihui Zhao

Explore elliptic measures and domain geometry with Zihui Zhao. Learn about harmonic measures, uniform domains, and the Piper theorem in this advanced mathematical analysis seminar.

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

Drinfeld's Lemma for Schemes - Kiran Kedlaya

Explore Drinfeld's lemma for schemes with Kiran Kedlaya, covering fundamental groups, base points, and the Stax project in algebraic geometry.

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

Bounds in Renormalized Volume for Hyperbolic 3-Manifolds - Franco Vargas Pallete

Explore advanced geometric concepts in hyperbolic 3-manifolds, focusing on renormalized volume bounds, mean curvature, and variation formulas through rigorous mathematical analysis.

• YouTube
• 1 hour 48 minutes
• On-Demand
• Free Video

A Toy Model of the Information Paradox in Empty Space - Suvrat Raju

Explore the information paradox in empty space through a toy model, examining quantum correlations, Bell inequalities, and their implications for gravity and spacetime structure.

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

Mean Action of Periodic Orbits of Area-Preserving Annulus Diffeomorphisms - Morgan Weiler

Explore area-preserving annulus diffeomorphisms, focusing on mean action of periodic orbits. Delve into action functions, Colombian variants, and Hutchings theorem in symplectic dynamics.

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

Lyapunov Exponents for Small Random Perturbations - Alex Blumenthal

Explore Lyapunov exponents in random perturbations of hyperbolic 2D volume-preserving diffeomorphisms, including the Standard Map, with insights on asymptotic dynamics and invariant structures.

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

X-Ramanujan Graphs - Ex Uno Plures

Explore X-Ramanujan graphs with Ryan O'Donnell, covering additive lifts, generic graphs, eigenvalues, and matching polynomials in this advanced computer science and discrete mathematics seminar.

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

Universality of Random Graphs - Gal Kronenberg

Explore 2-universality in random graphs, covering monotone properties, age universality, probability thresholds, and expansion properties with proof techniques and examples.

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

Notions of Scalar Curvature - Mikhail Gromov

Explore scalar curvature concepts, spin bundles, and rich curves with renowned mathematician Mikhail Gromov in this advanced topology lecture from the Institute for Advanced Study.

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