Universität Wien

250058 VO Homological Algebra (2014S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 06.03. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 10.03. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 13.03. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 17.03. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 20.03. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 24.03. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 27.03. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 31.03. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 03.04. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.04. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 10.04. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 28.04. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 05.05. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 08.05. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 12.05. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 15.05. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 19.05. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 22.05. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 26.05. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 02.06. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 05.06. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 12.06. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.06. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.06. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 26.06. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.06. 15:00 - 16:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This lecture is intended to deliver an introduction to homological algebra,
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.

Assessment and permitted materials

Written exam or oral exam after the end of the lecture

Minimum requirements and assessment criteria

Accomplishment of he basic methods of homological algebra needed for the
research group algebra

Examination topics

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