Graph Theory Courses

Fields Institute

Transseries, Model Theory, and Hardy Fields - Lecture 14

Explore advanced mathematical concepts in transseries, model theory, and Hardy fields with expert Lou van den Dries in this graduate-level lecture from the Fields Institute.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

Fields Institute

Transseries, Model Theory, and Hardy Fields - Lecture 9

Explore advanced mathematical concepts in transseries, model theory, and Hardy fields with Professor Lou van den Dries in this graduate-level lecture from the Fields Institute.

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

Fields Institute

Transseries, Model Theory, and Hardy Fields - Lecture 1

Explore advanced mathematical concepts in transseries, model theory, and Hardy fields with Professor Lou van den Dries in this graduate-level lecture series.

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

Fields Institute

Recognizing Groups and Fields in Erdős Geometry and Model Theory

Explore geometric stability theory and tame geometry, focusing on recognizing groups and fields in Erdős geometry and model theory.

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

Fields Institute

Topics in Applied Model Theory - Lecture 12

Explore advanced concepts in model theory, including risky closures, algebraic groups, and PAC fields, with expert insights from Zoé Chatzidakis of CNRS-ENS.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

Simons Institute

Assumptions in Cryptography and Complexity Theory

Explore key assumptions in cryptography and complexity theory through an expert panel discussion, delving into minimal complexity requirements for cryptographic systems.

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

Simons Institute

What Do the Theory of Computing and the Movies Have in Common?

Explore the fascinating intersection of theoretical computer science, art, and cinema with Pixar co-founder Alvy Ray Smith, tracing the evolution from pixels to digital movies and its impact on modern computer graphics.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Introduction to Nonlinear Dynamics - The Case of Catastrophe Theory by Vishwesha Guttal

Explore nonlinear dynamics and catastrophe theory in finance and macroeconomics. Learn alternative frameworks for analyzing modern financial systems and their economic impacts.

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

Applied Algebraic Topology Network

Topology of Surprisal - Information Theory and Vietoris-Rips Filtrations

Explore the fusion of information theory and Vietoris-Rips filtrations, focusing on Kullback-Leibler divergence and its applications in deep learning, with insights on overcoming non-symmetry challenges.

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

Applied Algebraic Topology Network

The Reeb Graph of a Smooth Function Encodes the Function Class and Manifold Type

Explore how Reeb graphs of smooth functions encode function class and manifold type, examining structures for Morse and Morse-Bott functions and their relationship to manifold properties.

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

Applied Algebraic Topology Network

Recent Advances in Theory and Implementation of Multi-Parameter Persistence

Explores recent developments in multi-parameter persistence, covering stable filtrations and discrete descriptors. Includes interactive clustering software demo and discusses extensions of one-parameter persistence concepts.

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

Applied Algebraic Topology Network

The Topological Complexity of Pure Graph Braid Groups Is Stably Maximal

Explore the topological complexity of configuration spaces in graphs, using group theoretic estimates for higher topological complexity instead of traditional cohomology approaches.

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

Applied Algebraic Topology Network

Krystyna Kuperberg - Shape Theory: Vietoris-Cech Approach to Homotopy

Explore shape theory's geometric approach to homotopy for compact metric spaces, extending Vietoris' work on first homotopy groups to higher dimensions with applications in mind.

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

Applied Algebraic Topology Network

Morse Theory for Group Presentations and the Persistent Fundamental Group

Discrete Morse theory refinement for CW-complexes, with applications in combinatorial group theory and topological data analysis, including persistent fundamental group computation.

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

Applied Algebraic Topology Network

Exemplars of Sheaf Theory in TDA

Exploring sheaf theory applications in topological data analysis through four case studies, covering level set persistence, merge trees, and innovative approaches to persistent homology.

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