Graph Theory Courses

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

IMSA

O-Minimality and Hodge Theory - Definable GAGA + Griffiths Conjecture

Explore o-minimal geometry, definable GAGA, and Griffiths Conjecture in algebraic geometry. Learn about definable analytic spaces, Oka coherence, and their applications to period maps and variations of mixed Hodge structures.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Tropical Solutions to Hard Problems in Auction Theory

Explore tropical mathematics' applications in auction theory, neural networks, and statistics through polytopes, algorithms, and semigroup matrices, unveiling powerful problem-solving techniques.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Tropical Solutions to Hard Problems in Auction Theory and Neural Networks - Lecture II

Explore tropical mathematics and its applications in neural networks, auction theory, and more, focusing on key ideas of tropical objects as limits and their polyhedral geometry.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Tropical Solutions to Hard Problems in Auction Theory and Neural Networks - Lecture I

Explore tropical mathematics and its applications in neural networks, auction theory, and more. Learn about min-plus algebra, tropical objects, and polyhedral geometry to solve complex problems.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Representation Theory for Groups of Lie Type I

Explore representation theory for finite groups of Lie type, covering structural properties, Harish-Chandra theory, and Deligne-Lusztig theory for classifying irreducible complex representations.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Peter Dybjer - Intuitionistic Type Theory

Explore intuitionistic type theory, inductive definitions, and finite axiomatizations in this advanced lecture on mathematical foundations and type systems.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video