Birgit Richter (Universitšt Hamburg)

Title: Some examples of algebraic K-theory of brave new rings

We consider multiplicative homology theories and their algebraic K-theory. Algebraic K-theory of rings tells us something about arithmetic properties like the units of a ring, its Picard groups and its Brauer groups. What are examples of arithmetic features of multiplicative homology theories (alias ring spectra)? We will mostly focus on two examples: stable homotopy and complex K-theory.

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