Christoph Winges: On the Farrell Jones conjecture for real algebraic K-theory

I will explain how the setup for real algebraic K-theory established by Calmès, Dotto, Harpaz, Hebestreit, Land, Moi, Nardin, Nikolaus and Steimle allows for a formulation of the Farrell Jones conjecture which subsumes the K-theoretic, L-theoretic and A-theoretic versions while enjoying the same formal properties.
As time permits, I will sketch a proof for this conjecture in the case of finitely F-amenable groups which adapts arguments due to Bartels, Lück and Reich to the more general setting.
Based in parts on joint work with Ulrich Bunke and Daniel Kasprowski.