Graph Theory Courses

International Mathematical Union

The Geometry of Geometries - Matroid Theory, Old and New

Explore matroid theory's origins, connections, and recent geometric advances in combinatorial mathematics, highlighting matroid polytope, Bergman fan, and conormal fan models.

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

International Mathematical Union

Control Theory of Stochastic Distributed Parameter Systems - Some Recent Progresses

Recent advancements in stochastic distributed parameter control systems, focusing on controllability of hyperbolic equations and Pontryagin-type maximum principle for controlled stochastic evolution equations.

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

International Mathematical Union

Miklós Abert- Groups, Manifolds and Graph Limits

Explore connections between groups, manifolds, and graph limits in mathematics, uncovering fascinating relationships and applications in diverse areas of study.

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

International Mathematical Union

Measurable Graph Combinatorics

Explore measurable graph combinatorics with Andrew Marks, delving into advanced mathematical concepts and their applications in this insightful lecture.

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

International Mathematical Union

Homotopy Patterns in Group Theory

Explore homotopy patterns in group theory, delving into advanced mathematical concepts and their applications in topology and algebra.

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

Institute for Pure & Applied Mathematics (IPAM)

Density Functional Theory - IPAM at UCLA

Comprehensive exploration of density functional theory, covering advanced concepts and applications in materials science, presented by Prof. Vikram Gavini at IPAM's exascale mathematics workshop.

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

Institute for Pure & Applied Mathematics (IPAM)

Density Functional Theory - IPAM at UCLA

Comprehensive introduction to density functional theory, exploring its principles and applications in materials science and computational physics.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Graph MLP-Mixer for Molecular Analysis - IPAM at UCLA

Explores Graph MLP-Mixer, a novel GNN architecture overcoming limitations in graph representation learning, offering improved long-range dependencies and efficiency for molecular analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

Explainable Structured Machine Learning in Similarity, Graph and Transformer Models

Explores techniques for explaining complex machine learning models, focusing on similarity, graph, and transformer structures. Discusses applications in knowledge evolution, gender bias, and task-solving.

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

Institute for Pure & Applied Mathematics (IPAM)

Basis-Set Correction Based on Density-Functional Theory - IPAM at UCLA

Rigorous framework for basis-set correction in quantum mechanics using density-functional theory, explored through a one-dimensional model with delta-potential interactions for systematic analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

Beyond Density Functional Approximations by Lessons From Density Functional Theory

Exploring alternatives to density functional approximations in quantum mechanics, focusing on extrapolating model families and generalizing Kato's cusp condition for improved accuracy in electronic systems.

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

Institute for Pure & Applied Mathematics (IPAM)

Fast Algorithm for the Strong-Interaction Limit of Density Functional Theory

Explore a novel algorithm for computing the strong-interaction limit in density functional theory, enhancing accuracy in modeling strongly correlated systems and overcoming computational challenges.

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

Institute for Pure & Applied Mathematics (IPAM)

Field Theory Methods for Multiscale Description of Quantum Systems - IPAM at UCLA

Explore quantum field theory's role in multiscale phenomena, from fundamental interactions to condensed matter physics and biology. Learn about inequivalent Hilbert space representations and their applications.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Quantum Field Theory of Exotic Systems - IPAM at UCLA

Explores quantum field theory for exotic systems, focusing on fracton phases and subsystem symmetries. Discusses challenges to traditional beliefs and examines novel approaches in 2+1 and 3+1 dimensions.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Towards a Theory of Non-commutative Optimization - Geodesic First and Second Order Methods for Moment Maps and Polytopes

Explore non-commutative optimization theory for geodesically convex problems, unifying diverse applications in computer science, mathematics, and physics through innovative first and second-order methods.

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