240151 Homological Algebra (V) (WiSe 2024/2025)

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.

My aim is to cover the properties of projective, injective and flat modules, complexes of modules and Ext and Tor groups, homological dimensions, homology and cohomology of groups, and more abstractly, abelian and triangulated 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/2425HA/

Teaching staff

Dates ( Calendar view )

Frequency Weekday Time Format / Place Period  
weekly Mo 10-12 U5-133 07.10.2024-31.01.2025
weekly Do 14-16 X-E0-213 07.10.2024-31.01.2025

Subject assignments

Module Course Requirements  
24-M-P1 Profilierung 1 Profilierungsvorlesung (mit Übung) - Typ 1 Student information
24-M-P1a Profilierung 1 Teil A Profilierungsvorlesung (mit Übung) - Typ 1 Student information
- Graded examination Student information
24-M-P1b Profilierung 1 Teil B Profilierungsvorlesung (mit Übung) - Typ 1 Student information
- Graded examination Student information
24-M-P2 Profilierung 2 Profilierungsvorlesung (mit Übungen) - Typ 1 Student information
24-M-PWM Profilierung Wirtschaftsmathematik Profilierungsvorlesung (mit Übung) - Typ 1 Student information
- Graded examination Student information
24-M-SV1-AL Spezialisierung/Vertiefung 1 - Algebra Spezialisierungskurs Algebra 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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Registered number: 11 (1)
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Address:
WS2024_240151@ekvv.uni-bielefeld.de
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Coverage:
10 Students to be reached directly via email
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Last update basic details/teaching staff:
Thursday, June 27, 2024 
Last update times:
Friday, July 19, 2024 
Last update rooms:
Friday, July 19, 2024 
Type(s) / SWS (hours per week per semester)
V / 4
Language
This lecture is taught in english
Department
Faculty of Mathematics
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476583297