Noncommutative Geometry, Arithmetic, and Related Topics

Cod : 9781421403526

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Noncommutative Geometry, Arithmetic, and Related Topics

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This valuable collection of essays by some of the world s leading scholars in mathematics presents innovative and field-defining work at the intersection of noncommutative geometry and number theo...

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This valuable collection of essays by some of the world's leading scholars in mathematics presents innovative and field-defining work at the intersection of noncommutative geometry and number theory.

The interplay between these two fields centers on the study of the rich structure of the adele class space in noncommutative geometry, an important geometric space known to support and provide a geometric interpretation of the Riemann Weil explicit formulas in number theory. This space and the corresponding quantum statistical dynamical system are fundamental structures in the field of noncommutative geometry.

Several papers in this volume focus on the "field with one element" subject, a new topic in arithmetic geometry; others highlight recent developments in noncommutative geometry, illustrating unexpected connections with tropical geometry, idempotent analysis, and the theory of hyper-structures in algebra.

Originally presented at the Twenty-First Meeting of the Japan-U.S. Mathematics Institute, these essays collectively provide mathematicians and physicists with a comprehensive resource on the topic.

Specificatii

Anul publicarii	2012
ISBN	9781421403526
Format coperta	Hardback
Numar pagini	328
Limba	English
Domeniul	Matematica
Autor	Caterina Consani
De aceeasi editura	John Hopkins University Press
CM	40752
DS	D/1#BR/1#MEGA/8