Graph Theory Courses

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

Institute for Pure & Applied Mathematics (IPAM)

Binary Black Hole Mergers in Cubic Horndeski Theory - IPAM at UCLA

Explore binary black hole mergers in cubic Horndeski gravity, examining non-linear effects and comparing results to general relativity. Gain insights into alternative gravity theories and their implications for astrophysical phenomena.

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

Institute for Pure & Applied Mathematics (IPAM)

Quantum Field Theory of Exotic Systems - IPAM at UCLA

Explore quantum field theory of exotic systems, focusing on fracton phases and their challenges to conventional understanding. Delve into subsystem symmetries, tensor gauge theories, and peculiar UV/IR mixing phenomena.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Task Structure and Generalization in Graph Neural Networks

Explore graph neural networks' generalization properties, focusing on the interplay between task structure and architectural biases for improved learning and performance in algorithmic tasks.

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

Institute for Pure & Applied Mathematics (IPAM)

A Framework for Differentiable Discovery of Graph Algorithms

Explore graph algorithm discovery using deep learning and tree decomposition. Learn effective techniques for NP-complete problems with interpretable results and expanded search space.

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

Institute for Pure & Applied Mathematics (IPAM)

Generalization Theory in Machine Learning

Explore generalization theory in machine learning, covering traditional methods, deep learning, and statistical learning theory. Gain insights into overcoming the curse of dimensionality and understanding learning bounds.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Wasserstein Distributionally Robust Optimization - Theory and Applications in Machine Learning

Explore Wasserstein distributionally robust optimization theory and its applications in machine learning, focusing on data-driven decision-making under uncertainty and statistical learning.

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

QuantumTopology

Picture Valued Invariants, Groups, and Applications of Virtual Knot Theory

Explore picture valued invariants, groups, and applications of virtual knot theory with Professor Vassily Manturov in this advanced mathematics lecture.

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

IMSA

Skein Exact Triangles in Equivariant Singular Instanton Theory

Explore knot signatures and singular instanton homology, focusing on skein exact triangles in equivariant theory. Uncover new insights into link invariants and their categorifications.

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

IMSA

Hodge Theory of Abelian Covers of Algebraic Varieties

Explore Hodge Theory of Abelian Covers in algebraic varieties, covering Alexander modules, multivariables, and transformations. Gain insights into advanced mathematical concepts and their applications.

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

IMSA

Quadratic Forms in Surface Automorphisms and Singularity Theory

Explore pseudo-periodic surface automorphisms, quadratic forms, and their applications in singularity theory. Gain insights into Milnor fibers and monodromy automorphisms.

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

IMSA

Homological Mirror Symmetry - Categorical Donaldson-Thomas Theory of C^3 and Beyond

Explore advanced concepts in Donaldson-Thomas theory, including categorifications, refinements, and applications to C^3 and beyond, with a focus on categorical invariants and correspondences.

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

IMSA

Canonical Wall Structures via Punctured Gromov-Witten Theory

Exploration of canonical wall structures in logarithmic Calabi-Yau pairs using punctured Gromov-Witten theory, connecting intrinsic mirror construction with earlier approaches.

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

IMSA

Windows and Geometric Invariant Theory

Explore windows theory in algebraic geometry, its applications to GIT constructions, and its impact on derived categories and stability conditions in various mathematical contexts.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

IMSA

Model Theory - From Logic to Geometric Stability Theory and O-Minimality I

Explore model theory principles, focusing on o-minimality and stability theory, with applications to complex geometry and arithmetic aspects.

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