Published January 1, 2021
| Submitted
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Homotopy Spectra and Diophantine Equations
- Creators
- Manin, Yuri I.
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Marcolli, Matilde
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.
Additional Information
To Xenia and Paolo, from Yuri and Matilde, with all our love and gratitude. M. Marcolli acknowledges support from NSF grants DMS–1707882 and DMS–2104330 and from NSERC grants RGPIN–2018–04937 and RGPAS–2018–522593. Yu. Manin acknowledges the excellent scientific environment of the Max Planck Institute for Mathematics in Bonn and permanent support of its administration and of the Max Planck Society. We thank the three anonymous referees for a very careful reading of the paper and for providing many detailed comments and suggestions that greatly improved the paper.Attached Files
Submitted - 2101.00197.pdf
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2101.00197.pdf
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Additional details
- Eprint ID
- 110552
- Resolver ID
- CaltechAUTHORS:20210825-184614782
- DMS-1707882
- NSF
- DMS-2104330
- NSF
- RGPIN-2018-04937
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- RGPAS-2018-522593
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Max Planck Institute for Mathematics
- Created
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2021-08-25Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field