Universität Wien

250105 VO Homological algebra (2016W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 03.10. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 05.10. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 10.10. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 12.10. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 17.10. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 19.10. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 24.10. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 31.10. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.11. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 09.11. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 14.11. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 16.11. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 21.11. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 23.11. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 28.11. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 30.11. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 05.12. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 07.12. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 12.12. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 14.12. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.01. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.01. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.01. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 18.01. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.01. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 25.01. 13:30 - 14:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.01. 13:15 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This lecture has the aim to give an introduction to homological algebra,
as it is needed for algebraic topology, commutative algebra, group theory
and number theory. The following topics 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
triangulated categories and derived categories.

Assessment and permitted materials

Written exam or oral exam after the end of the lecture

Minimum requirements and assessment criteria

Basic algebra

Examination topics

All topics covered in the lecture.

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: Tu 15.02.2022 00:27