{"id":434,"date":"2025-07-15T06:27:37","date_gmt":"2025-07-15T05:27:37","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/tfg\/?p=434"},"modified":"2025-07-15T06:28:54","modified_gmt":"2025-07-15T05:28:54","slug":"les-capacitats-simplectiques-i-la-conjectura-de-viterbo","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/tfg\/les-capacitats-simplectiques-i-la-conjectura-de-viterbo\/","title":{"rendered":"Camell simpl\u00e8ctic i conjectura de Viterbo"},"content":{"rendered":"\n<p>La <strong>geometria simpl\u00e8ctica<\/strong> \u00e9s una branca fonamental de les matem\u00e0tiques modernes, amb aplicacions en la mec\u00e0nica cl\u00e0ssica, la f\u00edsica matem\u00e0tica i la topologia. El non-squeezing teorema de Gromov diu que no es pot passar simpl\u00e8cticament un camell per una agulla. Aix\u00f2 permet definir una familia d&#8217;invariants num\u00e8rics que s\u00f3n les <strong>capacitats simpl\u00e8ctiques<\/strong>. L&#8217;objectiu d&#8217;aquest TFG ser\u00e0 d&#8217;estudiar la definici\u00f3 i propietats d&#8217;aquests invariants en relaci\u00f3 amb la <strong>conjectura de Viterbo<\/strong> que es pot interpretar com una desigualtat isoperim\u00e8trica dins el context simpl\u00e8ctic.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>La geometria simpl\u00e8ctica \u00e9s una branca fonamental de les matem\u00e0tiques modernes, amb aplicacions en la mec\u00e0nica cl\u00e0ssica, la f\u00edsica matem\u00e0tica i la topologia. El non-squeezing teorema de Gromov diu que no es pot passar simpl\u00e8cticament un camell per una agulla. Aix\u00f2 permet definir una familia d&#8217;invariants num\u00e8rics que s\u00f3n les capacitats simpl\u00e8ctiques. L&#8217;objectiu d&#8217;aquest TFG [&hellip;]<\/p>\n","protected":false},"author":75,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31,1],"tags":[44],"class_list":["post-434","post","type-post","status-publish","format-standard","hentry","category-geometria-i-topologia","category-general","tag-florent-balacheff"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/434","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/users\/75"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/comments?post=434"}],"version-history":[{"count":3,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/434\/revisions"}],"predecessor-version":[{"id":437,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/434\/revisions\/437"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/media?parent=434"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/categories?post=434"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/tags?post=434"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}