Higher algebraic K-theory

Masters course – Fall 2011

Prof. Kathryn Hess Bellwald
Assistant: Eric Finster

Contents

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.

Schedule

  • Lectures: Tuesdays, 8:15 to 10:00
  • Exercices: Tuesdays, 10:15 to 12:00
  • Room: MA 10

Syllabus

  1. Essential category theory
  2. Simplicial methods in category theory
  3. Quillen’s K-theory of exact categories
  4. Waldhausen K-theory

Bibliography

Various files to download

 

Last update: 15.12.2011