Homotopy Spectra and Diophantine Equations

Yuri I. Manin; Matilde Marcolli

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arXiv · 2101.00197

Homotopy Spectra and Diophantine Equations

Yuri I. Manin·Matilde Marcolli

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Abstract

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 stable homotopy theory. This connection poses the challenge: discover new information in number theory using the independently-developed machinery of homotopy theory. In this combined research/survey paper we suggest to apply homotopy spectra to the problem of distribution of rational points upon algebraic manifolds.

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Yuri I. Manin, Matilde Marcolli. 2021-05-02. Homotopy Spectra and Diophantine Equations. https://arxiv.org/abs/2101.00197

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