MathVideos.org
  • Seminars
    • Algebra
      • Associative Rings
        • Ariki-Koike Algebras
        • Cluster Algebras
        • Group Rings
        • Hecke Algebras
        • KLR Algebras
        • Schur Algebras
      • Commutative Algebra
      • Fusion Systems
      • Group Theory
        • Abelian Groups
        • Algebraic Groups
        • Combinatorial Group Theory
        • Computational Group Theory
        • Finite Groups
        • Geometric Group Theory
        • Infinite Groups
        • Lie Groups
        • Permutation Groups
      • Lie Theory
        • Algebraic Groups
        • Lie Algebras
        • Lie Groups
        • p-Adic Groups
        • Representations of Algebraic Groups
      • Non-Associative Algebras
        • Jordan and Axial Algebras
        • Lie Algebras
        • Other Non-Associative Rings
      • Representation Theory
        • Geometric Representation Theory
        • Representations of Algebraic Groups
        • Representations of Finite Groups
        • Representations of Lie Algebras
        • Representations of Symmetric Groups
      • Semigroups
    • Analysis
      • Complex Analysis
      • Functional Analysis
      • Harmonic Analysis
    • Category Theory
      • Derived Categories
      • Higher Category Theory
      • Triangulated Categories
    • Combinatorics
      • Additive Combinatorics
      • Algebraic Combinatorics
      • Extremal Combinatorics
      • Graph Theory
    • Geometry
      • Algebraic Geometry
        • Birational Geometry
      • Differential Geometry
      • Discrete Geometry
      • Non-Commutative Geometry
      • Symplectic Geometry
    • Logic
    • Mathematical Finance
    • Mathematical Physics
    • Number Theory
      • Additive Number Theory
      • Analytic Number Theory
      • Algebraic Number Theory
      • Computational Number Theory
      • Diophantine Equations
      • Diophantine Geometry
      • Number Theory and Forms
      • Probabilistic Number Theory
    • Optimization
    • Probability Theory
    • Topology
      • Algebraic Topology
      • Analytic Topology
      • Differential Topology
      • Dynamical Systems
      • Geometric Topology
  • Short Courses
    • Algebra
    • Analysis
    • Category Theory
    • Combinatorics
    • Geometry
    • Mathematical Physics
    • Number Theory
    • Probability Theory
    • Topology
  • Lecture Courses
    • Algebra
    • Analysis
    • Category Theory
    • Combinatorics
    • Geometry
    • Mathematical Physics
    • Number Theory
    • Probability Theory
    • Topology
  • ···
    MathVideos.org
    • Seminars
      • Algebra
        • Associative Rings
          • Ariki-Koike Algebras
          • Cluster Algebras
          • Group Rings
          • Hecke Algebras
          • KLR Algebras
          • Schur Algebras
        • Commutative Algebra
        • Fusion Systems
        • Group Theory
          • Abelian Groups
          • Algebraic Groups
          • Combinatorial Group Theory
          • Computational Group Theory
          • Finite Groups
          • Geometric Group Theory
          • Infinite Groups
          • Lie Groups
          • Permutation Groups
        • Lie Theory
          • Algebraic Groups
          • Lie Algebras
          • Lie Groups
          • p-Adic Groups
          • Representations of Algebraic Groups
        • Non-Associative Algebras
          • Jordan and Axial Algebras
          • Lie Algebras
          • Other Non-Associative Rings
        • Representation Theory
          • Geometric Representation Theory
          • Representations of Algebraic Groups
          • Representations of Finite Groups
          • Representations of Lie Algebras
          • Representations of Symmetric Groups
        • Semigroups
      • Analysis
        • Complex Analysis
        • Functional Analysis
        • Harmonic Analysis
      • Category Theory
        • Derived Categories
        • Higher Category Theory
        • Triangulated Categories
      • Combinatorics
        • Additive Combinatorics
        • Algebraic Combinatorics
        • Extremal Combinatorics
        • Graph Theory
      • Geometry
        • Algebraic Geometry
          • Birational Geometry
        • Differential Geometry
        • Discrete Geometry
        • Non-Commutative Geometry
        • Symplectic Geometry
      • Logic
      • Mathematical Finance
      • Mathematical Physics
      • Number Theory
        • Additive Number Theory
        • Analytic Number Theory
        • Algebraic Number Theory
        • Computational Number Theory
        • Diophantine Equations
        • Diophantine Geometry
        • Number Theory and Forms
        • Probabilistic Number Theory
      • Optimization
      • Probability Theory
      • Topology
        • Algebraic Topology
        • Analytic Topology
        • Differential Topology
        • Dynamical Systems
        • Geometric Topology
    • Short Courses
      • Algebra
      • Analysis
      • Category Theory
      • Combinatorics
      • Geometry
      • Mathematical Physics
      • Number Theory
      • Probability Theory
      • Topology
    • Lecture Courses
      • Algebra
      • Analysis
      • Category Theory
      • Combinatorics
      • Geometry
      • Mathematical Physics
      • Number Theory
      • Probability Theory
      • Topology
    • ···
      MathVideos.org
      • Seminars
        • Algebra
          • Associative Rings
            • Ariki-Koike Algebras
            • Cluster Algebras
            • Group Rings
            • Hecke Algebras
            • KLR Algebras
            • Schur Algebras
          • Commutative Algebra
          • Fusion Systems
          • Group Theory
            • Abelian Groups
            • Algebraic Groups
            • Combinatorial Group Theory
            • Computational Group Theory
            • Finite Groups
            • Geometric Group Theory
            • Infinite Groups
            • Lie Groups
            • Permutation Groups
          • Lie Theory
            • Algebraic Groups
            • Lie Algebras
            • Lie Groups
            • p-Adic Groups
            • Representations of Algebraic Groups
          • Non-Associative Algebras
            • Jordan and Axial Algebras
            • Lie Algebras
            • Other Non-Associative Rings
          • Representation Theory
            • Geometric Representation Theory
            • Representations of Algebraic Groups
            • Representations of Finite Groups
            • Representations of Lie Algebras
            • Representations of Symmetric Groups
          • Semigroups
        • Analysis
          • Complex Analysis
          • Functional Analysis
          • Harmonic Analysis
        • Category Theory
          • Derived Categories
          • Higher Category Theory
          • Triangulated Categories
        • Combinatorics
          • Additive Combinatorics
          • Algebraic Combinatorics
          • Extremal Combinatorics
          • Graph Theory
        • Geometry
          • Algebraic Geometry
            • Birational Geometry
          • Differential Geometry
          • Discrete Geometry
          • Non-Commutative Geometry
          • Symplectic Geometry
        • Logic
        • Mathematical Finance
        • Mathematical Physics
        • Number Theory
          • Additive Number Theory
          • Analytic Number Theory
          • Algebraic Number Theory
          • Computational Number Theory
          • Diophantine Equations
          • Diophantine Geometry
          • Number Theory and Forms
          • Probabilistic Number Theory
        • Optimization
        • Probability Theory
        • Topology
          • Algebraic Topology
          • Analytic Topology
          • Differential Topology
          • Dynamical Systems
          • Geometric Topology
      • Short Courses
        • Algebra
        • Analysis
        • Category Theory
        • Combinatorics
        • Geometry
        • Mathematical Physics
        • Number Theory
        • Probability Theory
        • Topology
      • Lecture Courses
        • Algebra
        • Analysis
        • Category Theory
        • Combinatorics
        • Geometry
        • Mathematical Physics
        • Number Theory
        • Probability Theory
        • Topology

      Dawid Kielak: Free-by-cyclic groups, polytopes, and algorithms

      5th November, 2020
      Watch LaterRemove Cinema Mode

      Using tricks from L2-homology and some abstract algebra we will show how to algorithmically compute the structure of the fibred cohomology classes of free-by-cyclic groups and most 3-manifolds. (Joint with Giles Gardam.)

      This video is part of the New York Group Theory Cooperative‘s group theory seminar series.

      Algebra Cohomology theory Computational group theory Geometric group theory Group theory

      You may also like

      Martha Precup: The cohomology of nilpotent Hessenberg varieties and the dot action representation

      10th April, 2023

      David Fernández: Non-commutative Poisson geometry and pre-Calabi-Yau algebras

      2nd December, 2024

      Antonio Viruel: Permutation representations of finite groups via evolution algebras

      18th December, 2023

      Ziqing Xiang: Quantum Wreath Products and Their Representations

      19th February, 2024

      Alessandro Sisto: A simple hierarchical hyperbolicity criterion and extra-large Artin groups

      5th November, 2021

      Teresa Conde: A functorial approach to rank functions

      13th December, 2022

      In ‘Seminars’

      • Algebra
      • Analysis
      • Category Theory
      • Combinatorics
      • Geometry
      • Logic
      • Mathematical Physics
      • Number Theory
      • Probability Theory
      • Topology

      About MathVideos

      MathVideos attempts to produce a catalogue of all research-level seminar and course videos from across the Internet. Started by David Craven, it is not affiliated in any way with the University of Birmingham.

      Privacy Policy

      Contact Us

      Most recent videos

      • Nikolay Bogachev: Geometry, Arithmetic, and Dynamics of Discrete Groups, XXI 3rd December, 2024
      • David Fernández: Non-commutative Poisson geometry and pre-Calabi-Yau algebras 2nd December, 2024
      • Hadi Salmasian: Lie Groups and Quantization, XXIII 2nd December, 2024
      • Jon Woolf: Heart fans as universal phase diagrams 28th November, 2024
      • Nikolay Bogachev: Geometry, Arithmetic, and Dynamics of Discrete Groups, XX 28th November, 2024