In this series of two talks we will give a short introduction to algebraic K-theory.
The idea of these lectures is to formulate K-theory and some basic properties and statements as far as possible in the language of ∞-categories and stable homotopy theory. We will specifically introduce K-theory as the group completion and derive its basic properties using this perspective. We will review some basic calculations and outline the Q-construction. If time permits we will also sketch an extension of the functoriality of K-theory to polynomial functors.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/10159