A distributional approach to asymptotics of the Spectral Action
| dc.contributor.advisor | Paycha, Sylvie | spa |
| dc.contributor.advisor | Neira Jiménez, Carolina | spa |
| dc.contributor.author | López Castaño, Juan Daniel | spa |
| dc.date.accessioned | 2021-02-24T15:39:02Z | spa |
| dc.date.available | 2021-02-24T15:39:02Z | spa |
| dc.date.issued | 2020-08-18 | spa |
| dc.description.abstract | La acción espectral es el concepto natural y apropiado para hablar de una acción en el espacio de triplas espectrales, y fue introducido por primera vez por Chamseddine y Connes en 1997. Después de incluir definiciones y resultados que conciernen a la teoría de Cesàro para distribuciones y análisis asintótico, discutimos la expansión asintótica de la acción espectral en el sentido distribucional para una tripla espectral conmutativa, siguiendo a Estrada, Gracia-Bondía y Várilly. | spa |
| dc.description.abstract | The spectral action is the natural and appropriate notion of an action on the space of spectral triples, and it was introduced by Chamseddine and Connes in 1997. After including some definitions and results concerning the Cesàro theory of distributions and asymptotic analysis, we discuss the asymptotic expansion of the spectral action in the distributional sense for a commutative spectral triple following Estrada, Gracia-Bondía and Várilly. | spa |
| dc.description.degreelevel | Maestría | spa |
| dc.format.extent | 1 recurso en línea (94 páginas) | spa |
| dc.format.mimetype | application/pdf | spa |
| dc.identifier.citation | López-Castaño, J. D. (2020) A distributional approach to asymptotics of the Spectral Action. Master thesis, Universidad Nacional de Colombia. | spa |
| dc.identifier.uri | https://repositorio.unal.edu.co/handle/unal/79294 | |
| dc.language.iso | eng | spa |
| dc.publisher.branch | Universidad Nacional de Colombia - Sede Bogotá | spa |
| dc.publisher.department | Departamento de Matemáticas | spa |
| dc.publisher.program | Bogotá - Ciencias - Maestría en Ciencias - Matemáticas | spa |
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| dc.rights | Derechos reservados - Universidad Nacional de Colombia | spa |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
| dc.rights.license | Atribución-NoComercial 4.0 Internacional | spa |
| dc.rights.spa | Acceso abierto | spa |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | spa |
| dc.subject.ddc | 510 - Matemáticas | spa |
| dc.subject.proposal | Spectral action | eng |
| dc.subject.proposal | Acción espectral | spa |
| dc.subject.proposal | Sumabilidad de Cesàro | spa |
| dc.subject.proposal | Cesàro summability | eng |
| dc.subject.proposal | Distribuciones | spa |
| dc.subject.proposal | Distributions | eng |
| dc.subject.proposal | Asymptotic expansion | eng |
| dc.subject.proposal | Expansiones asintóticas | spa |
| dc.subject.proposal | Operadores pseudidiferenciales | spa |
| dc.subject.proposal | Pseudodifferential operators | eng |
| dc.subject.proposal | Teoría espectral | spa |
| dc.subject.proposal | Spectral theory | eng |
| dc.subject.proposal | Noncommutative geometry | eng |
| dc.subject.proposal | Geometría no conmutativa | spa |
| dc.title | A distributional approach to asymptotics of the Spectral Action | spa |
| dc.type | Trabajo de grado - Maestría | spa |
| dc.type.coar | http://purl.org/coar/resource_type/c_bdcc | spa |
| dc.type.coarversion | http://purl.org/coar/version/c_ab4af688f83e57aa | spa |
| dc.type.content | Text | spa |
| dc.type.driver | info:eu-repo/semantics/masterThesis | spa |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | spa |
| oaire.accessrights | http://purl.org/coar/access_right/c_abf2 | spa |