Lectures on Algebraic K-theory

The pdf files below are my lecture notes for a course on Algebraic K-theory which I gave at the University of Western Ontario in 2008. The course is being given again during the Spring term of 2011.

The notes subject to change - the indicated dates are last updates.

If you have comments or suggestions about these files, please do not hesitate to contact me: jardine@uwo.ca.

• Lecture 001: Some homotopy theory - a review (01/22/08)

• Lecture 002: Exact categories, Q construction, Fundamental groupoid (01/25/08)

• Lecture 003: Waldhausen's constructions, Additivity (01/26/11)

• Lecture 004: The K-theory spectrum, Products (03/09/11)

• Lecture 005: Group completion, Q=+ theorem, The defining acyclic map (04/12/11)

• Lecture 006: Homotopy fibres, Resolution Theorem, Dévissage (03/14/08)

• Lecture 007: Abelian category localization, Coherent sheaves and open subschemes, Product formulas (04/13/11)

• Lecture 008: K-theory with finite coefficients, and homology (03/09/11)

• Lecture 009: K-theory of graded rings, homotopy property (04/12/11)

• Lecture 010: Rigidity (04/12/11)

• Lecture 011: K-theory of finite fields (04/12/11)

• References (04/12/11)