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
| Date | Title | Speaker |
|---|---|---|
| 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 H 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.