{"id":70919,"date":"2019-04-25T15:55:12","date_gmt":"2019-04-25T15:55:12","guid":{"rendered":"https:\/\/raed.academy\/?p=70919"},"modified":"2019-04-25T18:36:04","modified_gmt":"2019-04-25T18:36:04","slug":"resultats-conjetures-teoria-formes-automorfes","status":"publish","type":"post","link":"https:\/\/raed.academy\/ca\/resultats-conjetures-teoria-formes-automorfes\/","title":{"rendered":"La rellev\u00e0ncia de les formes automorfes"},"content":{"rendered":"<h2>Pilar Bayer protagonitza el darrer col\u00b7loqui de l&#8217;Institut de Ci\u00e8ncies Matem\u00e0tiques a Madrid<\/h2>\n<div id=\"attachment_70926\" style=\"width: 319px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-70926\" class=\"wp-image-70926\" src=\"https:\/\/raed.academy\/wp-content\/uploads\/2019\/04\/Pilar-Bayer-Isant.jpg\" alt=\"Dra. Pilar Bayer Isant\" width=\"309\" height=\"189\" \/><p id=\"caption-attachment-70926\" class=\"wp-caption-text\">Dra. Pilar Bayer<\/p><\/div>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-70989\" src=\"https:\/\/raed.academy\/wp-content\/uploads\/2019\/04\/coloquio_UAM-ICMAT.jpg\" alt=\"\" width=\"390\" height=\"564\" \/><a href=\"https:\/\/raed.academy\/ca\/academics\/dra-pilar-bayer-isant\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Pilar Bayer<\/strong><\/a>, catedr\u00e0tica em\u00e8rita de la <a href=\"http:\/\/ub.edu\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Universitat de Barcelona<\/strong><\/a>, \u200b\u200bacad\u00e8mica de n\u00famero de la <strong>Reial Acad\u00e8mia Europea de Doctors-Barcelona 1914<\/strong> (RAED) i secret\u00e0ria de la Secci\u00f3 de Ci\u00e8ncies Experimentals, va impartir el passat 12 d&#8217;abril a la <a href=\"https:\/\/www.uam.es\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Universidad Aut\u00f3noma de Madrid<\/strong><\/a> la confer\u00e8ncia <strong>&#8220;On some results and conjetures in the theory of automorphic forms&#8221;<\/strong>. L&#8217;acte es va emmarcar dins del cicle de col\u00b7loquis que organitza l&#8217;<a href=\"https:\/\/www.icmat.es\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Instituto de Ciencias Matem\u00e1ticas<\/strong><\/a>, un organisme mixt del <a href=\"http:\/\/www.csic.es\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Consejo Superior de Investigaciones Cient\u00edficas<\/strong><\/a>, la <a href=\"https:\/\/www.uam.es\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Universidad Aut\u00f3noma de Madrid<\/strong><\/a>, la <a href=\"https:\/\/www.uc3m.es\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Universidad Carlos III<\/strong><\/a> i la <a href=\"http:\/\/www.ucm.es\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Universidad Complutense de Madrid<\/strong><\/a>.<\/p>\n<p>La intervenci\u00f3 de <a href=\"https:\/\/raed.academy\/ca\/academics\/dra-pilar-bayer-isant\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Bayer<\/strong><\/a> es va centrar en les formes automorfes, una generalitzaci\u00f3 de les funcions peri\u00f2diques amb un pes important en la teoria de nombres moderna. D&#8217;aquest concepte en deriva una extensa xarxa de resultats i conjectures, entre ells el fam\u00f3s programa de <strong>Langlands<\/strong>. Aquesta col\u00b7lecci\u00f3 de conjectures relaciona representacions del grup de <strong>Galois<\/strong> <strong>absolut<\/strong> d&#8217;un cos de nombres amb representacions de grups algebraics, precisament mitjan\u00e7ant l&#8217;\u00fas de les formes automorfes. Un exemple d&#8217;aix\u00f2 \u00e9s el teorema de modularitat de <strong>Wiles<\/strong>, una de les conjectures del programa de Langlands i pe\u00e7a clau en la demostraci\u00f3 del teorema de <strong>Fermat<\/strong>. La cita &#8220;hi ha cinc operacions fonamentals en matem\u00e0tiques: suma, resta, multiplicaci\u00f3, divisi\u00f3 i formes modulars&#8221;, atribu\u00efda al matem\u00e0tic alemany <strong>Martin Eichler<\/strong>, ha estat subscrita en nombroses ocasions per altres matem\u00e0tics per assenyalar la rellev\u00e0ncia d&#8217;aquestes formes.<\/p>\n<div id=\"attachment_70923\" style=\"width: 400px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-70923\" class=\"wp-image-70923\" src=\"https:\/\/raed.academy\/wp-content\/uploads\/2019\/04\/Instituto-Ciencias-Matematicas-Madrid-ICMAT-edificio-dstNtc.jpg\" alt=\"Instituto de Ciencias Matem\u00e1ticas de Madrid (ICMAT)\" width=\"390\" height=\"259\" \/><p id=\"caption-attachment-70923\" class=\"wp-caption-text\">Instituto de Ciencias Matem\u00e1ticas de Madrid (ICMAT)<\/p><\/div>\n<p><a href=\"https:\/\/raed.academy\/ca\/academics\/dra-pilar-bayer-isant\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Pilar Bayer<\/strong><\/a> \u00e9s una de les primeres matem\u00e0tiques que van obtenir el doctorat a la Universitat de Barcelona, \u200b\u200bl&#8217;any 1975. Des de llavors ha desenvolupat la seva carrera com a investigadora i professora en institucions com la <a href=\"https:\/\/www.uni-regensburg.de\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Universitat de Ratisbona<\/strong><\/a> (Alemanya), on va comen\u00e7ar a formar-se en teoria de nombres, la <a href=\"https:\/\/web.unican.es\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Universidad de Cantabria<\/strong><\/a>, la <a href=\"http:\/\/www.uab.edu\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Universitat Aut\u00f2noma de Barcelona<\/strong><\/a> i la pr\u00f2pia Universitat de Barcelona, \u200b\u200bon va exercir com a catedr\u00e0tica d&#8217;\u00e0lgebra en el Departament d&#8217;\u00c0lgebra i Geometria des del 1982 fins a la seva jubilaci\u00f3 el 2016.<\/p>\n<p><a href=\"https:\/\/raed.academy\/ca\/academics\/dra-pilar-bayer-isant\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Bayer<\/strong><\/a> ha treballat en temes relacionats amb formes automorfes des de l&#8217;inici de la seva carrera. Entre les seves nombroses publicacions destaca l&#8217;article <strong>&#8220;On automorphic forms and Hodge theory&#8221;<\/strong>, elaborat conjuntament amb <strong>J\u00fcrgen Neukirch<\/strong> i publicat el 1981 a la revista <strong>&#8220;Mathematische Annalen&#8221;<\/strong>. Aix\u00ed mateix, ha investigat en \u00e0rees com a funcions zeta, el problema invers de la teoria de Galois, equacions diofantines i corbes de <strong>Shimura<\/strong>. Una de les seves contribucions m\u00e9s importants ha estat la creaci\u00f3 des del 1986 del<strong> Seminari de Teoria de Nombres de Barcelona<\/strong>, \u200b\u200bun referent internacional en la recerca en teoria de nombres coordinat en l&#8217;actualitat per la Universitat de Barcelona, \u200b\u200bla Universitat Aut\u00f2noma de Barcelona i la <a href=\"http:\/\/www.upc.edu\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Universitat Polit\u00e8cnica de Catalunya<\/strong><\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pilar Bayer protagonitza el darrer col\u00b7loqui de l&#8217;Institut de Ci\u00e8ncies Matem\u00e0tiques a Madrid Pilar Bayer, catedr\u00e0tica em\u00e8rita de la Universitat de Barcelona, \u200b\u200bacad\u00e8mica de n\u00famero de la Reial Acad\u00e8mia Europea de Doctors-Barcelona 1914 (RAED) i secret\u00e0ria de la Secci\u00f3 de Ci\u00e8ncies Experimentals, va impartir el passat 12 d&#8217;abril a la Universidad Aut\u00f3noma de Madrid la [&hellip;]<\/p>\n","protected":false},"author":12,"featured_media":70924,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[72],"tags":[],"class_list":["post-70919","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized-ca","et-has-post-format-content","et_post_format-et-post-format-standard"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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