Hermitian K-groups and Motives

Paul Arne Østvaer, University of Milan and University of Oslo

Online Talk

Hermitian K-theory is closely related to the classical theory of quadratic forms. We will give an overview of recent calculations of higher Hermitian K-groups of fields and rings of integers in number fields through motivic homotopy theory. The answers involve arithmetic data, while the calculational methods are rooted in homotopy theory. Joint work with Haakon Kolderup, Jonas Kylling, and Oliver Roendigs.