# BC-system, absolute cyclotomy and the quantized calculus

@inproceedings{Connes2021BCsystemAC, title={BC-system, absolute cyclotomy and the quantized calculus}, author={Alain Connes and Caterina Consani}, year={2021} }

We give a short survey on several developments on the BC-system, the adele class space of the rationals, and on the understanding of the ”zeta sector” of the latter space as the Scaling Site. The new result that we present concerns the description of the BCsystem as the universal Witt ring (i.e. K-theory of endomorphisms) of the ”algebraic closure” of the absolute base S. In this way we attain a conceptual meaning of the BC dynamical system at the most basic algebraic level. Furthermore, we…

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