{"id":979,"date":"2018-07-18T10:56:08","date_gmt":"2018-07-18T10:56:08","guid":{"rendered":"http:\/\/hedayatzadeh.info\/aag\/?p=979"},"modified":"2018-07-18T11:19:22","modified_gmt":"2018-07-18T11:19:22","slug":"number-theory-ipm","status":"publish","type":"post","link":"https:\/\/www.hedayatzadeh.info\/aag\/number-theory-ipm\/","title":{"rendered":"Number Theory Seminar @ IPM"},"content":{"rendered":"<p>Dr. Sajad Salami from\u00a0Universidade Estadual do Rio de Janeiro, Brasil will give the following talk at IPM, on <strong>September 22<\/strong>, 2018 (<strong>31 Shahrivar<\/strong> 1397):<\/p>\n<p><strong>Title<\/strong>: The rational points of certain Abelian varieties over function fields<\/p>\n<p><strong>Abstract<\/strong>:\u00a0In this talk,\u00a0\u00a0we\u00a0consider the set of rational points on Abelian varieties over function fields that arise as twists of Abelian varieties by cyclic covers of irreducible quasi-projective varieties. In terms of Prym varieties associated with the cyclic covers, we demonstrate a structure theorem on their Mordell-Weil group. Our results give an explicit method to construct elliptic curves, hyper- and super-elliptic Jacobians that have large ranks over function fields of certain varieties.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dr. Sajad Salami from\u00a0Universidade Estadual do Rio de Janeiro, Brasil will give the following talk at IPM, on September 22, 2018 (31 Shahrivar 1397): Title: The rational points of certain Abelian varieties over function fields Abstract:\u00a0In this talk,\u00a0\u00a0we\u00a0consider the set of rational points on Abelian varieties over function fields that arise as twists of Abelian [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[42],"tags":[],"class_list":["post-979","post","type-post","status-publish","format-standard","hentry","category-events"],"_links":{"self":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/posts\/979","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/comments?post=979"}],"version-history":[{"count":2,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/posts\/979\/revisions"}],"predecessor-version":[{"id":984,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/posts\/979\/revisions\/984"}],"wp:attachment":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/media?parent=979"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/categories?post=979"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/tags?post=979"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}