{"id":11427,"date":"2018-03-09T08:56:47","date_gmt":"2018-03-09T08:56:47","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/realizaciones-de-galois-modulares-de-grupos-lineales\/"},"modified":"2018-03-09T08:56:47","modified_gmt":"2018-03-09T08:56:47","slug":"realizaciones-de-galois-modulares-de-grupos-lineales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/realizaciones-de-galois-modulares-de-grupos-lineales\/","title":{"rendered":"Realizaciones de galois modulares de grupos lineales"},"content":{"rendered":"<h2>Tesis doctoral de <strong> V\u00edctor Dieviefait Luis <\/strong><\/h2>\n<p>En esta tesis investigamos el problema de dar criterios para que las im\u00e1genes de  una familia compatible de representaciones de galois sean \u00abtan grandes como es posible\u00bb para casi todo primo.  las familias de representaciones de galois que consideramos son modulares o geom\u00e9tricas, asociadas a ciertas formas modulares o a alguna variedad lisa y proyectiva.  a trav\u00e9s de los diferentes cap\u00edtulos se tratan los casos de tales familias de representaciones de dimensi\u00f3n dos, tres y cuatro. En cada caso tambi\u00e9n se dan m\u00e9todos efectivos para acotar el conjunto de primos excepcionales, es decir, aquellos para los cuales la imagen no es \u00abtan grande como es posible\u00bb, y se extraen las consecuencias correspondientes desde el punto de vista del problema inverso de la teor\u00eda de galois.  la imagen m\u00e1s grandes posible se define teniendo en cuenta las restricciones intr\u00ednsecas en cada caso, por ejemplo en el caso de superficies abelianas principalmente polarizadas sabemos a priori que las representaciones de galois en los m\u00f3dulos de tate son simpl\u00e9ctivas.  los casos que se consdieran son, concretamente:  * caso 2-dimensional modular: representaciones de galois asociadas a formas modulares cl\u00e1sicas sin multiplcaci\u00f3n compleja, con o sin twists internos. Versi\u00f3n efectiva de los teoremas de determinaci\u00f3n de im\u00e1genes de momose y ribet. Aplicaci\u00f3n: realizaci\u00f3n de grupos proyectivos lineales como grupos de galois.  * caso 3-dimensional modular y geom\u00e9trico: representaciones de galois geom\u00e9ricas constru\u00eddas por van geemen y top y represetaciones de galois modulares (conjeturales) asociadas v\u00eda la conjetura de clozel a formas modulares cohomol\u00f3gicas. Criterios para maximaliada de las im\u00e1genes y determinaci\u00f3n efectiva. Aplicaci\u00f3n: realizaci\u00f3n de grupos lineales y unitarios como grupos de galois.  * caso 4-dimensional geom\u00e9trico: representaciones de galois asociadas a superficies abelianas principalmente polarizadas. Versi\u00f3n efecti<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Realizaciones de galois modulares de grupos lineales<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Realizaciones de galois modulares de grupos lineales <\/li>\n<li><strong>Autor:<\/strong>\u00a0 V\u00edctor Dieviefait Luis <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 20\/06\/2001<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>N\u00faria Vila Oliva<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Juan  gabriel Tena ayuso <\/li>\n<li>angela Arenas sol\u00e1 (vocal)<\/li>\n<li>enrique Nart vi\u00f1als (vocal)<\/li>\n<li>germard Frey (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de V\u00edctor Dieviefait Luis En esta tesis investigamos el problema de dar criterios para que las im\u00e1genes de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[951,126,29903,14514],"tags":[37551,37552,37553,12502,34207,37550],"class_list":["post-11427","post","type-post","status-publish","format-standard","hentry","category-barcelona","category-matematicas","category-teoria-algebraica-de-los-numeros","category-teoria-de-los-numeros","tag-angela-arenas-sola","tag-enrique-nart-vinals","tag-germard-frey","tag-juan-gabriel-tena-ayuso","tag-nuria-vila-oliva","tag-victor-dieviefait-luis"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/11427","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=11427"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/11427\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=11427"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=11427"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=11427"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}