Markus Spitzweck: Hermitian K-theory for stable infinity categories with duality

Abstract:  We will introduce infinity categories with duality and 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.