Graph Theory Courses

International Mathematical Union

Independent Learning Dynamics for Stochastic Games - Where Game Theory Meets

Explore independent learning dynamics in stochastic games, bridging game theory and reinforcement learning. Discover convergent algorithms for multi-agent scenarios in dynamic environments.

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

International Mathematical Union

Algorithmic Aspects of Discrepancy Theory

Explore algorithmic aspects of discrepancy theory, including vector balancing, Spencer's Problem, and Banaszczyk's Theorem, with insights on geometric perspectives and partial coloring techniques.

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

International Mathematical Union

Theory of Graph Neural Networks: Representation and Learning

Explore the theory behind Graph Neural Networks, covering approximation, learning properties, and connections to graph isomorphism, equivariant functions, and dynamic programming.

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

International Mathematical Union

Ramsey Theory of Homogeneous Structures

Explore Ramsey theory on infinite structures, focusing on homogeneous structures. Learn about recent developments, methodologies, and ongoing research in this complex area of mathematics.

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

International Mathematical Union

Theory of Adaptive Estimation

Introduction to modern adaptive estimation theory, focusing on universal estimation procedures and oracle inequalities. Explores commutativity properties, upper functions, and applications to various statistical models.

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

Institute for Pure & Applied Mathematics (IPAM)

Unified Understanding of E(3)-Equivariant Interatomic Potentials - Theory and Applications

Explore E(3)-equivariant interatomic potentials, covering theory, applications, and advancements in machine learning approaches for quantum mechanics and molecular dynamics simulations.

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

Institute for Pure & Applied Mathematics (IPAM)

Conditional Probability Density Functional Theory - IPAM at UCLA

Explore conditional probability density functional theory for electronic structure calculations, addressing challenges in DFT and offering insights into ground-state correlations and warm dense matter simulations.

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

Institute for Pure & Applied Mathematics (IPAM)

Stochastic Density Functional Theory - IPAM at UCLA

Explore stochastic density functional theory for efficient ground-state calculations in extended materials, including noise reduction techniques and applications in warm dense matter at elevated temperatures.

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

Institute for Pure & Applied Mathematics (IPAM)

Recent Results in Density Functional Theory - IPAM at UCLA

Explore recent advancements in Density Functional Theory, including the Lieb-Oxford bound and Local Density Approximation, presented by Mathieu Lewin at IPAM's workshop on Model Reduction in Quantum Mechanics.

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

Institute for Pure & Applied Mathematics (IPAM)

Quantum Impurity and Quantum Embedding Theory - IPAM at UCLA

Explore quantum impurity and embedding theories, from non-interacting systems to advanced concepts like DMET and DMFT, enhancing understanding of quantum many-body problems.

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

Institute for Pure & Applied Mathematics (IPAM)

Theory of Molecular Interactions - IPAM at UCLA

Explore advanced quantum mechanics concepts, focusing on molecular interactions, perturbation theory, and frequency-dependent properties in this in-depth tutorial by Alexandre Tkatchenko.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Many-Body Perturbation Theory and Green's Function Methods - IPAM at UCLA

Explore Green's functions and many-body perturbation theory in quantum physics, covering Feynman diagrams, self-energy, and applications like GW method and DMFT. Gain insights into mathematical structures and open problems.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

A Mathematical Introduction to Quantum Embedding Theory - IPAM at UCLA

Explore quantum embedding methods for strongly-correlated materials, focusing on computational challenges at the single-particle level and recent optimization approaches.

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

Institute for Pure & Applied Mathematics (IPAM)

Many-Body Perturbation Theory and Wavefunction Methods: A Physics Perspective

Explore many-body perturbation theory and wavefunction methods from a physics perspective, covering applications, multiscale modeling, and advanced quantum mechanics concepts.

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

Institute for Pure & Applied Mathematics (IPAM)

Machine Learning and Game Theory for Social Impact

Explore machine learning and game theory applications in security, sustainability, and food rescue, featuring real-world deployments and innovative solutions for societal challenges.

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