25th NRW Topology Meeting

Speaker: Markus Spitzweck

Title: Direct sum hermitian K-theory of infinity categories with duality

Abstract:

We discuss infinity categories with duality, direct sum hermitian K-theory thereof and hermitian multiplicative infinite loop space machines. In particular we show that any rigid symmetric monoidal preadditive infinity category gives rise to a direct sum hermitian K-theory E-infinity spectrum. This is joint work with Heine and Lopez-Avila. In the end we present ongoing joint work with Nikolaus on direct sum real K-theory for infinity categories with duality.