Homological algebra
WS 2016/2017

Dietrich Burde

Lectures: Monday 13:15-14:45 in SR09 and Wednesday 13:30-14:15 in SR09

Exercises: Wednesday 14:30-15:15 in SR09

  • This page contains informations and pdf-files for this lecture and its exercise class.
  • Homological algebra is, to put it very briefly, the theory of abelian categories and the functors between them. It has played a very important role in algebraic topology. Its influence has gradually expanded and nowadays plays a vital role in commutative algebra, algebraic geometry, algebraic number theory, representation theory, mathematical physics, operator algebras, complex analysis, and in the theory of partial differential equations.

  • Here is a syllabus and a bibliography available.

  • pdf-files:

    No. Topic Date pdf-file
    1 Exercises 2016/2017 homalg.pdf

    Topics for the exam:

    1. Free, projective, flat, torsion-free, injective and divisible modules
    2. Categories and functors
    3. Injective and projective resolutions, derived functors
    4. Group cohomology
    5. Spectral sequences
    6. Triangulated categories

    Dietrich Burde
    Last modified: Mit Sep 21 10:57:40 CEST 2016