Teaching
This semester I am teaching Algebraic K-theory.
Time/Place (to be confirmed):
- Lectures: Tuesdays and Thursdays 11:00-13:00, Mathematikon, SR 3.
- Exercises (Cheni Yuki Yang): Thursdays 14:00 - 16:00, Mathematikon SR4.
- Exam: oral
Program:
We will give an introduction to algebraic K-theory of rings.
The course will follow Weibel's K-book, avoiding the parts that require algebraic geometry. Therefore the program will be:
- Projective modules and vector bundles
- K_0, K_1 and K_2
- Fundamental theorems
- (if time permits) K-theory of fields.
Bibliography:
- Our primary guideline will be:
- C. Weibel: The K-book (Graduate Studies in Math. vol. 145, AMS, 2013), available here
- Further readings:
- A. Asok: Constructing projective modules: elements of a social history a survey on the history of our interest in projective modules, available here
- M. Schlichting: Higher algebraic K-theory (after Quillen, Thomason and others) (Topics in Algebraic and Topological K-theory. Springer Lecture Notes in Math. 2008 (2011), 167-242) available here
Further resources collected here