Hermitian K-theory for stable infinity categories with duality

Algebro-Geometric and Homotopical Methods

28 February 15:00 - 16:00

Markus Spitzweck - University of Osnabrück

We will carry over the hermitian Waldhausen construction to stable infinity categories with duality obtaining a connective hermitian K-theory spectrum, which is in fact part of a genuine C_2-spectrum, the real K-theory spectrum. If the construction is applied to perfect complexes over a commutative ring in which 2 is invertible we show that we recover classical hermitian K-theory. In the end we might comment on constructions of hermitian K-theory for more general classes of infinity categories with duality.
Eric M. Friedlander
The University of Southern California
Lars Hesselholt
University of Copenhagen
Paul Arne Østvaer
University of Oslo


Paul Arne Østvaer


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