Topics

- commutative rings and modules
- (co)chain complexes, (co)homology, exact sequences
- basic category theory
- Ext/Tor functors, derived functors
- homological proof of Hilbert's syzygy theorem
- if time permits: various other applications

 

 

Prerequisites: solid understanding of linear algebra. Basic knowledge of modules (over commutative rings) and group theory (finite groups) is helpful.

 

Language Depending on participants the course will be in German or English.