Markus Spitzweck: Hermitian K-theory for stable infinity categories with duality
Time: Mon 2017-02-27 15.15 - 17.00
Location: Room 3418, Lindstedtsvägen 25, 4th floor, Department of mathematics, KTH
Participating: Markus Spitzweck (Universität Osnabrück)
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.