250057 VO Homological Algebra (2011W)
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Details
Language: German
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Thursday
06.10.
15:00 - 17:00
Seminarraum
Friday
07.10.
13:00 - 15:00
Seminarraum
Thursday
13.10.
15:00 - 17:00
Seminarraum
Friday
14.10.
13:00 - 15:00
Seminarraum
Thursday
20.10.
15:00 - 17:00
Seminarraum
Friday
21.10.
13:00 - 15:00
Seminarraum
Thursday
27.10.
15:00 - 17:00
Seminarraum
Friday
28.10.
13:00 - 15:00
Seminarraum
Thursday
03.11.
15:00 - 17:00
Seminarraum
Friday
04.11.
13:00 - 15:00
Seminarraum
Thursday
10.11.
15:00 - 17:00
Seminarraum
Friday
11.11.
13:00 - 15:00
Seminarraum
Thursday
17.11.
15:00 - 17:00
Seminarraum
Friday
18.11.
13:00 - 15:00
Seminarraum
Thursday
24.11.
15:00 - 17:00
Seminarraum
Friday
25.11.
13:00 - 15:00
Seminarraum
Thursday
01.12.
15:00 - 17:00
Seminarraum
Friday
02.12.
13:00 - 15:00
Seminarraum
Friday
09.12.
13:00 - 15:00
Seminarraum
Thursday
15.12.
15:00 - 17:00
Seminarraum
Friday
16.12.
13:00 - 15:00
Seminarraum
Thursday
12.01.
15:00 - 17:00
Seminarraum
Friday
13.01.
13:00 - 15:00
Seminarraum
Thursday
19.01.
15:00 - 17:00
Seminarraum
Friday
20.01.
13:00 - 15:00
Seminarraum
Thursday
26.01.
15:00 - 17:00
Seminarraum
Friday
27.01.
13:00 - 15:00
Seminarraum
Information
Aims, contents and method of the course
Assessment and permitted materials
Written exam or oral exam after the end of the lecture.
Minimum requirements and assessment criteria
Accomplishment of the basic methods of homological algebra needed for the
research group algebra
research group algebra
Examination topics
varying
Reading list
K. S. Brown: Cohomology of groups, Graduate Texts in Mathematics, vol. 87, Springer-Verlag, New York, 1994.H. Cartan, S. Eilenberg: Homological algebra. Princeton University Press, Princeton, NJ, 1999.I. Gelfand, Y.I. Manin: Methods of homological algebra, Springer, 2003.P. Hilton; U. Stammbach: A course in homological algebra, Graduate Texts in Mathematics, Springer-Verlag, New York, 1997.C.A.Weibel: An introduction to homological algebra, Cambridge, 1994.
Association in the course directory
MALV
Last modified: Mo 07.09.2020 15:40
as it is needed for algebraic topology, commutative algebra, group theory
and number rtheory. The following chapters are planned:
Module theory (free, projective, flat, divisible and injective modules),
categories and functors (in particular abelian categories), resolutions and
derived functors (projective and injective resolutions, homology, homotopy,
ext-functor, tor-functor), Group homology and cohomology, spectral sequences
(in particular the Hochschild-Lyndon-Serre spectral sequence), and
finally triangulated categories and derived categories.