Group Theory Courses and Certifications

Michael Penn

Groups With Four Members

Explore the mathematical properties and structures of groups with four members, uncovering their unique characteristics and applications in abstract algebra.

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

International Mathematical Union

Groups Acting on Hyperbolic Spaces - A Survey

Explore group actions on hyperbolic spaces with Mladen Bestvina in this comprehensive survey, covering key concepts, recent developments, and applications in geometric group theory.

• YouTube
• 1 hour 13 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

ICTP Mathematics

Conjugation Classes of Pairs in SL-4,C- and SU-3,1- - K. Gongopadhyay

Explore conjugation classes of pairs in SL(4,C) and SU(3,1) matrices, delving into advanced mathematical concepts and their applications in linear algebra and group theory.

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

QuantumTopology

Gehring-Martin-Tan and Tan Numbers for Elementary Subgroups of PSL(2,C)

Explore Gehring-Martin-Tan and Tan numbers for elementary subgroups of PSL(2,C), delving into advanced concepts in quantum topology and group theory.

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

Fields Institute

Affine Kac-Moody Groups as Twisted Loop Groups

Explore the connection between affine Kac-Moody groups and twisted loop groups in this mathematical talk, delving into advanced algebraic structures and symmetry concepts.

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

Fields Institute

Bounded Generation for SL_n-O_S

Explore the mathematical concept of bounded generation for SL_n(O_S) in this advanced seminar by Kumar Murty, delving into algebraic group theory and number theory.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

IMSA

Enrique Becerra, University of Miami - Some Remarks on the Spectrum of Finite Groups and the Ekedahl Invariant

Explore the stringy spectrum of orbifolds from finite group quotients and its connection to the Ekedahl invariant in this mathematical discourse on group theory and algebraic geometry.

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

ICTP Mathematics

Finite Presentation for the Tame Fundamental Group in Positive Characteristic

Explore the tame fundamental group in positive characteristic, focusing on finite presentations and their implications for algebraic geometry and number theory.

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

Hausdorff Center for Mathematics

The Relational Complexity of a Finite Permutation Group

Explores relational complexity in finite permutation groups, discussing its measurement, estimation methods, and recent progress towards proving a key conjecture using theoretical and computational approaches.

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

Hausdorff Center for Mathematics

Distinguishing Groups and the Group Isomorphism Problem

Explore the scale function in totally disconnected, locally compact groups, its computation methods, and the challenges in obtaining representations for certain groups. Insights into group theory and isomorphism problems.

• YouTube
• 56 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

Hausdorff Center for Mathematics

Stability and Invariant Random Subgroups I

Explore stability in permutation groups, unimodular random networks, and invariant random subgroups. Learn decision methods for equations in group theory and graph theory.

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

Hausdorff Center for Mathematics

Derek Holt- Algorithms for Finitely Presented Groups I

Explore fundamental algorithms for computing in finitely presented groups, including Todd-Coxeter coset enumeration and Reidemeister-Schreier algorithm, with practical examples and applications.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video