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Seminar: Homological algebra

Winter Term 2016/2017

Lecturer:  Prof. Dr. Holger Reich, Prof. Dr. Elmar Vogt


  • Time and Place:  Tuesday, 12:00-14:00 h, Arnimallee 6, SR 009


Content: 

Basic concepts of homological algebra, homology of groups.

The seminar language is English.

Talks

DateTitleSpeaker
18.10.       Preliminary Discussion
Holger Reich / Elmar Vogt
01.11.      Discussion  
08.11.  1. Resolutions Ihab Sabik 
15.11.  2. Tor and Ext Robert Cardona 
22.11.  3. Homology and cohomology of groups Crystal Lai 
29.11.  4. Functoriality and Shapiro's lemma Arne Roland 
06.12.  5. Homology of  Σ 3 Dimitri Loutchko 
13.12.  6. The bar resolution Dimitrios Bogiokas 
03.01.  7. Group extensions and  2 Georg Lehner 
10.01.  8. Spectral sequences Robert Cardona 
17.01.  9. Filtered modules and convergence Markus Penner 
24.01.  10. Bicomplexes & the comparison theorem Anna Buhné 
31.01.  11. The Lyndon spectral sequence Reimar Backhaus 
07.02.  TBA  
14.02.  TBA  

Literature:

[Bau08] Tilman Bauer, Homologische Algebra und Gruppenkohomologie, Vorlesungsskript, 2008, available at
https://wwwmath.uni-muenster.de/u/tilman.bauer/ Homologische-Algebra/index.html.
[Bro94]  Kenneth S. Brown, Cohomology of groups, Graduate Texts in Mathematics, vol. 87, Springer-Verlag, New York, 1994.
[ML95]   Saunders Mac Lane, Homology, Classics in Mathematics, Springer-Verlag,
Berlin, 1995.
[Moe08] Ieke Moerdijk, Notes on Homological Algebra, 2008.