• Corpus ID: 230437621

Homotopy Spectra and Diophantine Equations

@inproceedings{Manin2020HomotopySA,
  title={Homotopy Spectra and Diophantine Equations},
  author={Yu. I. Manin and Matilde Marcolli},
  year={2020}
}
Arguably, the first bridge between vast, ancient, but disjoint domains of mathematical knowledge, – topology and number theory, – was built only during the last fifty years. This bridge is the theory of spectra in the stable homotopy theory. In particular, it connects Z, the initial object in the theory of commutative rings, with the sphere spectrum S: see [Sc01] for one of versions of it. This connection poses the challenge: discover a new information in number theory using the developed… 

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