Cayley Graphs Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Metric-Functional Boundary of Cayley Graphs

Explore the horofunction boundary of Cayley graphs for small finitely generated groups, focusing on linear growth and the Gap Conjecture. Gain insights into metric spaces and group theory.

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

Institute for Advanced Study

Spectral Algorithms from Induced Subgraphs of Cayley Graphs

Delve into advanced spectral algorithms and their applications in solving complex computational problems through analysis of Cayley graphs and polynomial maximization techniques.

• YouTube
• 2 hours
• On-Demand
• Free Video

Institute for Advanced Study

Independent Sets in Random Cayley Graphs

Delve into advanced mathematical concepts exploring independent sets in random Cayley graphs, connecting graph theory with additive combinatorics and group theory through innovative analytical approaches.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Machine Learning Methods for Cayley Graphs Path Finding and Embeddings

Explore machine learning applications in Cayley graph analysis, focusing on path-finding algorithms and graph embeddings that outperform traditional systems for large-scale mathematical computations.

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

Institute for Advanced Study

Simple High Dimensional Expanders from Cayley Graphs

Delve into high-dimensional expander graphs and their construction through Cayley graphs, exploring fundamental concepts, applications in theoretical computer science, and novel sparsification techniques.

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

Institute for Advanced Study

Lower Bounds for Local Codes from Induced Subgraphs of Cayley Graphs

Delve into advanced mathematical concepts exploring local codes through Cayley graphs, featuring new methods for solving algorithmic problems and improving bounds for q-query locally decodable codes.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

Fields Institute

Oriented Cayley Graphs

Explore oriented Cayley graphs, quantum walks, and association schemes. Discover applications in algebraic graph theory and quantum information, with insights on special eigenvalues and Galois groups.

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

International Centre for Theoretical Sciences

Spectral Graph Theory - Lecture 1

Explore spectral graph theory, covering self-adjoint matrices, Rayleigh equalities, graph isomorphism, Cayley graphs, and automorphism groups. Gain insights into complex systems and network analysis.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

Random Walks on Finite Groups - Part 3 - Lecture 19

Explore Bourgain-Gamburd results and proof techniques for random walks on finite groups in advanced projection theory.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Growth in Linear Algebraic Groups and Permutation Groups

Exploración de límites de diámetro en grupos simétricos y algebraicos lineales, con énfasis en técnicas simplificadas y conexiones entre diferentes enfoques matemáticos.

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

Simons Institute

Structures in Random Graphs - New Connections

Exploring structures in random graphs, including cliques and independence numbers in Cayley graphs, thresholds for monotone properties, and edge-colorings of bipartite graphs.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

IMSA

Divergence in Coxeter Groups

Explores divergence in Coxeter groups, introducing the 'hypergraph index' to characterize linear, quadratic, and exponential divergence in these mathematical structures.

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

Paul G. Allen School

Theory Seminar - On Linear Data Structures and Matrix Rigidity, Sivaramakrishnan Ramamoorthy

Explores systematic linear data structures, rectangular rigidity, and their equivalence. Discusses rigidity lower bounds and Cayley graphs, presenting recent research findings and open problems.

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

Institut des Hautes Etudes Scientifiques (IHES)

Transverse Groups: Metric and Flow Space Analysis

Explore transverse groups, their metric and flow spaces, and new results in this advanced mathematical talk on discrete group theory and hyperbolic geometry.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Coxeter Groups are Biautomatic - Lecture 2

Explore Coxeter groups' biautomatic properties in this advanced geometric group theory lecture, part of a workshop fostering research collaboration and exposure to active areas in the field.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video