Algebraic K-theory

This website contains the course notes and additonal references for 19243901 Algebraic K-Theory.

Current complete course notes

• A brief introduction to algebraic K-theory pdf

Lecture notes

• Lecture 1: The Grothendieck group. pdf
• Lecture 2: The Whitehead group. pdf
• Lecture 3: Milnor K-theory. pdf
• Lecture 4: Simplicial Methods. pdf
• Lecture 5: The +-construction. pdf
• Lecture 6: Quillen's Theorem A and Theorem B pdf
• Lecture 7: Covering spaces and classifying spaces of categories pdf
• Lecture 8: Waldhausen's S-construction. pdf
• Lecture 9: The Additivity Theorem pdf
• Lecture 10: A universal property of Algebraic K-theory pdf
• Lecture 11: The fibration Theorem pdf
• Lecture 12: The Q-construction pdf
• Lecture 13: Resolution and Devissage pdf
• Lecture 14: Localization pdf

Additional references

• The K-book. Charles Weibel. link
• On the Cohomology and K-Theory of the General Linear Groups Over a Finite Field. Daniel Quillen. link
• Higher Algebraic K-theory I. Daniel Quillen. link
• Algebraic K-theory of Spaces. Friedhelm Waldhausen. link