Lehrende: Prof. Dr. Christoph Schweigert
Veranstaltungsart: Vorlesung
Anzeige im Stundenplan: M-AlgAT-V
Semesterwochenstunden: 2
Unterrichtssprache: Deutsch
Min. | Max. Teilnehmerzahl: 5 | -
Kommentare/ Inhalte: Upon request, the lectures will be delivered in English. Interested students can give a presentation of 60 minutes to fulfil the requirement of a seminar. Please contact me in this case in advance. 1. Simplicial sets and complexes 2. Resolutions 3. Group cohomology and / or Lie algebra cohomology 4. Spectral sequences 5. Derived categories and derived functors
Lernziel: The goal of this lecture course is to present some aspects of homological algebra and its applications. The precise selection of the material will depend on the background of the audience. For more information, we refer to http://www.math.uni-hamburg.de/home/schweigert/ss11/homalg.html
Vorgehen: The class addresses students in mathematics and physics who have a sufficient knowledge of algebra. You should know roughly the material of Chapter 1 and Chapter 2.1-2.4 of the algebra class, see the Lecture Notes. Some background reading of Chapter 6 is recommended, but the content of that chapter will be summarized in the lectures. Many of the methods have applications in mathematical physics, e.g. in the BRST and BV quantization. Depending on the background of the students, we might try to give an elementary introduction or overview to this topics.
Literatur: S. Gelfand, Y. Manin: Methods of Homological Algebra, Springer 1997 P.J. Hilton, U. Stammbach: A course in homological algebra, Springer Graduate Text in Mathematics 4 1997 C. Weibel: An introduction to homological algebra, Cambridge 1995.
Modulkürzel: Ma-M-AlgAT_n
Zusätzliche Hinweise zu Prüfungen: Oral, in August or September 2011. A selection of possible dates will be offered later.