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    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
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        • Extremal Combinatorics
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    • ···
      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
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      Higher Algebra

      Thomas Nikolaus: Higher Algebra, VI. Derived functors

      10th December, 2020
      Watch LaterRemove Cinema Mode

      The previous lecture in this series is here. The next lecture in this series is here.

      In this video, we define and discuss derived functors between derived categories of abelian categories. Additionally we discuss the notion of adjoint functors and Kan extensions.

      This video was produced by the University of Münster, in particular the homotopy theory group there.

      In This Lecture Course

      • Achim Krause: Higher Algebra, I. ∞-categories
      • Thomas Nikolaus: Higher Algebra, II. Limits
      • Thomas Nikolaus: Higher Algebra, III. Colimits
      • Achim Krause: Higher Algebra, IV. Derived categories as ∞-categories
      • Achim Krause: Higher Algebra, V. Slices and filtered colimits
      • Thomas Nikolaus: Higher Algebra, VI. Derived functors
      • Thomas Nikolaus: Higher Algebra, VII. Non-abelian derived functors
      • Achim Krause: Higher Algebra, VIII. Spectra
      • Thomas Nikolaus: Higher Algebra, IX. Symmetric monoidal ∞-categories
      • Thomas Nikolaus: Higher Algebra, X. En-algebras
      • Thomas Nikolaus: Higher Algebra, XI. p-adic completion
      • Thomas Nikolaus: Higher Algebra, XII. The Tate construction
      • Achim Krause: Higher Algebra, XIII. The Tate diagonal

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