**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