Institut des Hautes Etudes Scientifiques (IHES) Courses

Various Remarks on the Donagi-Pantev Program for Construction of Hecke Eigensheaves

Explore the Donagi-Pantev program for constructing Hecke eigensheaves, examining known cases, challenges, and connections to Hitchin moduli space geometry.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Different Notions of Tameness Revisited in Étale Morphisms

Explore different approaches to defining tameness in étale morphisms of schemes, focusing on valuation-theoretic methods and nonarchimedean geometry to overcome limitations of compactification-based approaches.

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

Finite Type Properties of Tame Fundamental Groups

Explore finite generation and presentation of fundamental groups in topology, including étale and tame cases, for various algebraic and analytic spaces.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Pure Local Systems Over Local Fields

Explore pure l-adic local systems on varieties over p-adic local fields, focusing on analogs of variations of pure Hodge structures and tilting approaches to open problems.

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

Topological Symmetry and Duality in Quantum Lattice Models - Lecture 1

Explore topological symmetry in quantum lattice models, focusing on finite symmetries, duality transformations, and their implications for condensed matter theory and numerical simulations.

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

Beauty of Life Seen Through Keyhole of Mathematics - Lecture 4

Explore molecular structures, mathematical thought in genetics, and the nature of life. Delve into bioengineering's future and human impact on Earth's ecology.

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

Beauty of Life Seen Through Keyhole of Mathematics - Lecture 3

Explore the intersection of mathematics and biology, from molecular structures to ecological impact, with insights on Life's nature and future bioengineering applications.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

On the Importance of Role Models in Science

Explore the significance of role models in scientific fields through insights from Catherine Goldstein and Clémence Perronnet's conference presentation.

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

Contextual Stochastic Bandits with Budget Constraints and Fairness Application

Explore contextual stochastic bandits, budget constraints, and fairness applications in machine learning. Learn strategies for balancing exploration and exploitation in reward maximization.

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

Weak Signals: Machine Learning Meets Extreme Value Theory

Explore machine learning's intersection with extreme value theory, focusing on angular measure recovery and its applications in classification and anomaly detection.

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

Unsupervised Alignment of Graphs and Embeddings: Fundamental Limits and Computational Methods

Explore unsupervised alignment techniques for graphs and embeddings, examining fundamental limits and computational approaches for data analysis and machine learning applications.

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

Reinforcement Learning: An Introduction and Key Results

Découvrez les principes et applications du Reinforcement Learning, de la détection d'anomalies médicales à l'optimisation des processus décisionnels de Markov. Explorez les défis et solutions de cette approche d'apprentissage par interaction.

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

Learning with Missing Values: Theoretical Insights and Application to Health Databases

Explore theoretical insights and practical applications of learning with missing values in health databases, focusing on regression, classification, and neural network solutions.

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

Beauty of Life Seen Through Keyhole of Mathematics - Lecture 2

Explore molecular structures, mathematical thought in genetics, and the nature of life through a mathematical lens. Discuss bioengineering's future and human impact on Earth's ecology.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Video

Random Matrices and Dynamics of Optimization in Very High Dimensions - Lecture 4

Explore random matrices and optimization dynamics in high dimensions, focusing on effective dynamics, spectral transitions, and applications in machine learning algorithms.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video