Automorphism Groups Courses and Certifications

Banach Center

Fraïssé Theory and Topological Dynamics

Explore the intersection of Fraı̈ssé theory and topological dynamics through advanced mathematical concepts and their applications in modern analysis.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Extremely Amenable Automorphism Groups of Countable Structures

Explore extreme amenability in topological groups, focusing on automorphism groups of countable structures. Discover the abundance of non-isomorphic extremely amenable Polish groups.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Quantum Automorphism Groups of Some Classes of Graphs

Explore quantum symmetries in graphs, revealing hidden quantum behaviors and comparing classical and quantum automorphism groups through examples and recent computations.

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

Centre International de Rencontres Mathématiques

Stable Cohomology of Automorphism Groups of Free Groups

Explore stable cohomology of automorphism groups of free groups. Delve into advanced mathematical concepts with expert Christine Vespa in this in-depth conference talk.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

INI Seminar Room 2

Linearity Criteria for Automorphism Groups of Hyperbolic Groups

Explore linearity criteria for automorphism groups of hyperbolic groups in this advanced mathematical seminar by Dr. Mark Pengitore from the Polish Academy of Sciences.

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

Centre International de Rencontres Mathématiques

Automorphism Groups of Algebraic Curves in Positive Characteristic

Explore automorphism groups of algebraic curves in positive characteristic, examining their relationship with genus and p-rank invariants through classical bounds and open problems.

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

International Centre for Theoretical Sciences

Property (T) for Automorphism Groups of Free Groups - Lecture 2

Explore Property (T) for automorphism groups of free groups in this advanced mathematics lecture, part of a program on Zariski dense subgroups and their applications in geometry and number theory.

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

Fields Institute

Crossed Product Equivalence of Quantum Automorphism Groups

Explore quantum automorphism groups and their crossed product equivalence in this advanced mathematics talk by Michael Brannan from the University of Waterloo.

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

International Centre for Theoretical Sciences

On the Acylindricity of the Outer Automorphism Group of Non-solvable Groups

Explore acylindricity in outer automorphism groups of non-solvable groups, delving into geometric group theory and its connections to diverse mathematical areas.

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

INI Seminar Room 2

Applications of the Weisfeiler-Leman Algorithm in the Study of Quantum Automorphism Groups of Graphs

Delve into the Weisfeiler-Leman algorithm's applications in quantum automorphism groups of graphs, exploring advanced mathematical concepts and their implications for quantum information theory.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

BIMSA

Wreath-like Product Groups and Their von Neumann Algebras: W*-superrigidity and Outer Automorphism Groups

Delve into wreath-like product groups and their von Neumann algebras, exploring W*-superrigidity and outer automorphism groups with Adrian Ioana, who presents groundbreaking research on property (T) groups.

• YouTube
• 1 hour 4 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

IMSA

Generalized Kähler Constant Scalar Curvature Problem

Explore the generalized Kähler constant scalar curvature problem, including moment map framework, Calabi Problem, and new examples on P^2 for toric Poisson manifolds.

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

Hausdorff Center for Mathematics

Automorphisms of Manifolds and the Farrell Jones Conjectures

Explores recent extensions of the Farrell-Jones Conjecture to Waldhausen's algebraic K-theory of spaces, examining implications for high-dimensional, closed, aspherical manifolds and their automorphism groups.

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

Fields Institute

Yang-Baxter Elements and a New Proof of Homological Stability for the Mapping Class Group of Surfaces

Explores Yang-Baxter elements in monoidal categories, introducing a novel approach to prove homological stability for surface mapping class groups using semi-simplicial sets and bimarked surfaces.

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