{"id":12824,"date":"2022-03-29T10:50:02","date_gmt":"2022-03-29T02:50:02","guid":{"rendered":"https:\/\/virtual.math.ntnu.edu.tw\/?p=12824"},"modified":"2022-03-29T10:52:53","modified_gmt":"2022-03-29T02:52:53","slug":"1-163","status":"publish","type":"post","link":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/2022\/03\/29\/1-163\/","title":{"rendered":"<span style=\"color:#3566BD\">[\u6578\u8ad6\u7814\u8a0e\u6703] <\/span>\u30104\u67081\u65e5\u3011\u570b\u7acb\u6e05\u83ef\u5927\u5b78\u6578\u5b78\u7cfb \u9b4f\u798f\u6751\u6559\u6388"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"12824\" class=\"elementor elementor-12824\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6f2c219 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6f2c219\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6f13b84\" data-id=\"6f13b84\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e7f701c elementor-widget elementor-widget-text-editor\" data-id=\"e7f701c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p>Speaker\uff1a\u9b4f\u798f\u6751\u6559\u6388 (\u570b\u7acb\u6e05\u83ef\u5927\u5b78\u6578\u5b78\u7cfb)<\/p><p>Title: Function field Analogue of Shimura\u2019s Conjecture on Period Symbols<\/p><p>Abstract: In this talk, we shall first review the classical story on Shimura\u2019s period symbols and his conjecture, then discuss about our parallel developments on CM periods in the function field setting. In concrete terms, we shall introduce the notion of Shimura\u2019s period symbol over function fields via the periods of \u201cCM dual t-motives\u201d, and establish their fundamental properties. We further formulate and prove a function field analogue of Shimura\u2019s conjecture on the algebraic independence of period symbols. Our results enable us to verify the algebraic independence of the coordinates of any nonzero period vector of a CM abelian t-module with \u201cnon-degenerate CM type\u201d. Further applications on special Gamma values will be discussed if time permits.\u00a0<span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px;\">This is joint work with W. Dale Brownawell, Chieh-Yu Chang, and Matthew A. Papanikolas.<\/span><\/p><p>Date: Friday, April 1, 2022<\/p><p>Time: 13:30<\/p><p>Venue: M210, Department of Mathematics, NTNU<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<p class=\"wpf_wrapper\"><a class=\"print_link\" href=\"\" target=\"_blank\">\u53cb\u5584\u5217\u5370<\/a><\/p><!-- .wpf_wrapper -->","protected":false},"excerpt":{"rendered":"<p>Speaker\uff1a\u9b4f\u798f\u6751\u6559\u6388 (\u570b\u7acb\u6e05\u83ef\u5927\u5b78\u6578\u5b78\u7cfb) Title: Function field Analogu [&hellip;]<\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[1,124,64],"tags":[],"_links":{"self":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts\/12824"}],"collection":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/comments?post=12824"}],"version-history":[{"count":4,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts\/12824\/revisions"}],"predecessor-version":[{"id":12828,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/posts\/12824\/revisions\/12828"}],"wp:attachment":[{"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/media?parent=12824"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/categories?post=12824"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/virtual.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/tags?post=12824"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}