**Birgit Richter (Universität 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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