On tea, donuts and non-commutative geometry

As many will agree, it feels good to complement a cup of tea by a donut or two. This sweet relationship is also a guiding principle of non-commutative geometry known as Serre Theorem. We explain the algebra behind this theorem and prove that elliptic curves are complementary to the so-called non-com...

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Main Author: Igor V. Nikolaev
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2018-03-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v13/p13_04.pdf
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spelling doaj-4bbabdca11554421b88e3435ee7b86852020-11-24T23:17:46ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982018-03-0113 (2018)95105On tea, donuts and non-commutative geometryIgor V. Nikolaev0Department of Mathematics and Computer Science St. John's University, 8000 Utopia Parkway, New York, NY 11439, USA.As many will agree, it feels good to complement a cup of tea by a donut or two. This sweet relationship is also a guiding principle of non-commutative geometry known as Serre Theorem. We explain the algebra behind this theorem and prove that elliptic curves are complementary to the so-called non-commutative tori. http://www.utgjiu.ro/math/sma/v13/p13_04.pdfElliptic curve
collection DOAJ
language English
format Article
sources DOAJ
author Igor V. Nikolaev
spellingShingle Igor V. Nikolaev
On tea, donuts and non-commutative geometry
Surveys in Mathematics and its Applications
Elliptic curve
author_facet Igor V. Nikolaev
author_sort Igor V. Nikolaev
title On tea, donuts and non-commutative geometry
title_short On tea, donuts and non-commutative geometry
title_full On tea, donuts and non-commutative geometry
title_fullStr On tea, donuts and non-commutative geometry
title_full_unstemmed On tea, donuts and non-commutative geometry
title_sort on tea, donuts and non-commutative geometry
publisher University Constantin Brancusi of Targu-Jiu
series Surveys in Mathematics and its Applications
issn 1843-7265
1842-6298
publishDate 2018-03-01
description As many will agree, it feels good to complement a cup of tea by a donut or two. This sweet relationship is also a guiding principle of non-commutative geometry known as Serre Theorem. We explain the algebra behind this theorem and prove that elliptic curves are complementary to the so-called non-commutative tori.
topic Elliptic curve
url http://www.utgjiu.ro/math/sma/v13/p13_04.pdf
work_keys_str_mv AT igorvnikolaev onteadonutsandnoncommutativegeometry
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