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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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2018-03-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v13/p13_04.pdf |
| _version_ | 1811287562388504576 |
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| author | Igor V. Nikolaev |
| author_facet | Igor V. Nikolaev |
| author_sort | Igor V. Nikolaev |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T03:19:27Z |
| format | Article |
| id | doaj.art-4bbabdca11554421b88e3435ee7b8685 |
| institution | Directory Open Access Journal |
| issn | 1843-7265 1842-6298 |
| language | English |
| last_indexed | 2024-04-13T03:19:27Z |
| publishDate | 2018-03-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-4bbabdca11554421b88e3435ee7b86852022-12-22T03:04:48ZengUniversity 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 |
| spellingShingle | Igor V. Nikolaev On tea, donuts and non-commutative geometry Surveys in Mathematics and its Applications Elliptic curve |
| title | 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_short | On tea, donuts and non-commutative geometry |
| title_sort | on tea donuts and non commutative geometry |
| topic | Elliptic curve |
| url | http://www.utgjiu.ro/math/sma/v13/p13_04.pdf |
| work_keys_str_mv | AT igorvnikolaev onteadonutsandnoncommutativegeometry |