Masters course – Fall 2011
Prof. Kathryn Hess Bellwald
Assistant: Eric Finster
Algebraic K-theory, which to any ring R associates a sequence of groups K0R, K1R, K2R, etc., can be viewed as a theory of linear algebra over an arbitrary ring. In this course we take a homotopy-theoretic approach to the definition of the algebraic K-theory groups.
- Lectures: Tuesdays, 8:15 to 10:00
- Exercices: Tuesdays, 10:15 to 12:00
- Room: MA 10
- Essential category theory
- Simplicial methods in category theory
- Quillen’s K-theory of exact categories
- Waldhausen K-theory
- Daniel Quillen, Higher Algebraic K-theory I, Springer LNM 341, 1973.
- John Rognes, Lecture Notes on Algebraic K-theory, University of Oslo, 2010.
- Marco Schlichting, Higher Algebraic K-theory (after Quillen, Thomason and others), Springer LNM 2008, 2011.
- Friedhelm Waldhausen, Algebraic K-theory of spaces, Springer LNM 1126, 1985.
- Charles Weibel, The K-book: An Introduction to Algebraic K-theory, (in progress).
Various files to download
Last update: 15.12.2011