Markus Spitzweck: A Grothendieck Witt space for stable infinity categories with duality

Markus Spitzweck: A Grothendieck Witt space for stable infinity categories with duality

The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: “Workshop: Hermitian K-theory and trace methods”

In the talk we will construct a Grothendieck-Witt space for any stable infinity category with duality. We will show that if we apply our construction to perfect complexes over a commutative ring in which 2 is invertible we recover the classical Grothendieck-Witt space. In the end we will comment on connective real K-theory spectra for such infinity categories.

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