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:
- Free, projective, flat, torsion-free, injective and divisible modules
- Categories and functors
- Injective and projective resolutions, derived functors
- Group cohomology
- Spectral sequences
- Triangulated categories
Dietrich Burde
Last modified: Mit Sep 21 10:57:40 CEST 2016