Automorphisms Courses and Certifications

Kimberly Brehm

Abstract Algebra

1 review

Comprehensive introduction to abstract algebra, covering symmetries, groups, isomorphisms, and more. Follows Gallian's text with accompanying slide decks for in-depth understanding.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Video

Chennai Mathematical Institute;  NPTEL

Geometry Of Vision

Explore the geometry behind vision, perspective drawing, and projective planes. Gain insights into how our visual perception relates to mathematical concepts in geometry and topology.

• Swayam
• 4 weeks
• On-Demand
• Free Online Course

International Mathematical Union

George Willis, Pierre-Emmanuel Caprace - A Totally Disconnected Invitation to Locally Compact Groups

Explore topological groups, focusing on locally compact and totally disconnected types. Discover recent advances in theory, simple groups, local structure, and comparisons with linear groups.

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

International Mathematical Union

Random Algebraic Dynamics in Complex Dimension 2

Explore dynamics of automorphism groups on projective surfaces, covering measure classification, orbit closures, and finite orbits. Techniques from geometry and dynamical systems are discussed.

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

IMSA

Welded Tangles and a Topological Interpretation of the Kashiwara-Vergne Group

Explores welded tangles and foams as higher-dimensional knot theory, connecting their automorphisms to the Kashiwara-Vergne group in Lie theory and relating to knot invariants and Baker-Campbell-Hausdorff series.

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

QuantumTopology

Virtual Representation of the Braid Group of Automorphisms and Virtual Links

Virtual representation of braid group automorphisms and links: exploring mathematical concepts and their applications in quantum topology and related fields.

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

Fields Institute

Strongly Linear Maps on Bounded Hahn Fields- Applications to Derivations, Logarithms, Automorphisms

Explore strongly linear maps on bounded Hahn fields and their applications to derivations, logarithms, and automorphisms in this advanced mathematics lecture.

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

IEEE

MatRiCT+: More Efficient Post-Quantum Private Blockchain Payments

Explore post-quantum blockchain privacy with MatRiCT+, featuring lattice-based cryptography, balance proofs, and innovative approaches for enhanced efficiency and security in digital payments.

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

Hausdorff Center for Mathematics

Marcello Bernardara - Semiorthogonal Decompositions as Markings and Autoequivalences

Explore semiorthogonal decompositions as markings and their role in lifting autoequivalences between triangulated categories, with applications to rational surfaces and non-commutative examples.

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

International Centre for Theoretical Sciences

Automorphisms of Free Groups of Small Rank and Their Outer Conjugacy Classes - Lecture 3

Explore automorphisms of free groups and outer conjugacy classes in geometric group theory, advancing understanding of group structures and transformations.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Automorphisms of Free Groups of Small Rank and Their Outer Conjugacy Classes - Lecture 2

Explore automorphisms of free groups and their outer conjugacy classes in this advanced mathematics lecture by François Dahmani, part of a geometric group theory workshop.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

On the Geometry of Extensions of Free Groups

Explore geometric group theory's advancements, focusing on free group extensions. Gain insights from experts through minicourses and collaborative research in this intensive workshop.

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

International Centre for Theoretical Sciences

Automorphisms of Free Groups of Small Rank and Their Outer Conjugacy Classes

Explore automorphisms of free groups and their outer conjugacy classes in this advanced mathematics lecture, part of a geometric group theory workshop.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

Fields Institute

Automorphisms of GKM Graphs and Regular Semisimple Hessenberg Varieties

Explore automorphisms of GKM graphs and regular semisimple Hessenberg varieties in this advanced mathematical talk by Mikiya Masuda, delving into toric topology and geometry.

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