Homotopy Spectra and Diophantine Equations
Number Theory
2021-05-04 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2101.00197,
title = {Homotopy Spectra and Diophantine Equations},
author = {Yuri I. Manin and Matilde Marcolli},
journal= {arXiv preprint arXiv:2101.00197},
year = {2021}
}
Comments
87 pages amstex