240151 Homological Algebra (V) (SoSe 2026)

Contents, comment

Homological algebra is the algebra that was invented in order to define and study the homology and cohomology of topological spaces, but it has applications all over mathematics. Planned contents (subject to change):
Abelian categories
Projective, injective and flat modules
Complexes
Resolutions, Ext and Tor
Group cohomology
Triangulated categories and derived categories

Requirements for participation, required level

Students are expected to already have some familiarity with rings and modules

External comments page

https://www.math.uni-bielefeld.de/~wcrawley/26HA/

Teaching staff

Dates ( Calendar view )

Frequency Weekday Time Format / Place Period  
weekly Mo 14-16 B2-260A 13.04.-24.07.2026
weekly Mi 14-16 V4-112 13.04.-24.07.2026

Subject assignments

Module Course Requirements  
24-M-AL-HAL Homological Algebra Homologische Algebra Lecture Homological Algebra Graded examination
Student information
24-M-P1 Profile Module 1 Profilierung 1 Profilierungsvorlesung (mit Übung) - Typ 1 Student information
24-M-P1a Profile Module 1, Part A Profilierung 1 Teil A Profilierungsvorlesung (mit Übung) - Typ 1 Student information
- Graded examination Student information
24-M-P1b Profile Module 1, Part B Profilierung 1 Teil B Profilierungsvorlesung (mit Übung) - Typ 1 Student information
- Graded examination Student information
24-M-P2 Profile Module 2 Profilierung 2 Profilierungsvorlesung (mit Übungen) - Typ 1 Student information
24-M-PWM Profile Module Economic Mathematics Profilierung Wirtschaftsmathematik Profilierungsvorlesung (mit Übung) - Typ 1 Student information
- Graded examination Student information
24-M-S2-AL Spezialisation Courses in Algebra Spezialisierung 2 - Algebra Masterkurs 1 Algebra - Variante 1 Student information
24-M-V2-AL Advanced Algebra Vertiefung 2 - Algebra Masterkurs 1 Algebra - Variante 1 Student information
- Graded examination Student information

The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.

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Address:
SS2026_240151@ekvv.uni-bielefeld.de
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Last update basic details/teaching staff:
Monday, January 19, 2026 
Last update times:
Wednesday, February 18, 2026 
Last update rooms:
Wednesday, February 18, 2026 
Type(s) / SWS (hours per week per semester)
lecture (V) / 4
Language
This lecture is taught in english
Department
Faculty of Mathematics
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651842462