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New perspectives in Arakelov geometry

Consani, Caterina and Marcolli, Matilde (2002) New perspectives in Arakelov geometry. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20170713-075158422

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Abstract

In this survey, written for the proceedings of the VII meeting of the CNTA held in May 2002 in Montreal, we describe how Connes' theory of spectral triples provides a unified view, via noncommutative geometry, of the archimedean and the totally split degenerate fibers of an arithmetic surface.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/math/0210357arXivDiscussion Paper
Additional Information:This paper was partly written during visits of the second author to Florida State University and University of Toronto. We thank these institutions for the hospitality. The first author is partially supported by NSERC grant 72016789. The second author is partially supported by the Humboldt Foundation and the German Government (Sofja Kovalevskaya Award). We thank Alain Connes for many extremely helpful discussions.
Funders:
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)72016789
Alexander von Humboldt FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20170713-075158422
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170713-075158422
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79056
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Jul 2017 16:41
Last Modified:03 Oct 2019 18:15

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