{"id":477,"date":"2018-08-13T18:48:11","date_gmt":"2018-08-13T18:48:11","guid":{"rendered":"http:\/\/pages.charlotte.edu\/colloquium\/?p=477"},"modified":"2018-09-25T01:30:20","modified_gmt":"2018-09-25T01:30:20","slug":"friday-september-28-time-and-location-tbd","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/colloquium\/blog\/2018\/08\/13\/friday-september-28-time-and-location-tbd\/","title":{"rendered":"Friday, September  28, Conference room, 11:00am"},"content":{"rendered":"<table width=\"637\">\n<tbody>\n<tr>\n<td>Professor:\u00a0<span style=\"font-size: inherit\"><a href=\"http:\/\/math.uh.edu\/~minru\">Min Ru<\/a>, Professor, Department of Mathematics, University of Houston, USA<\/span><\/td>\n<\/tr>\n<tr>\n<td>Title:\u00a0<span style=\"font-size: inherit\">Results related to F.T.A. in number theory, complex analysis and geometry<\/span><br \/>\nplications<\/td>\n<\/tr>\n<tr>\n<td>Abstract:\u00a0<span style=\"font-size: inherit\">The fundamental theorem of algebra (F.T.A.) states that for every complex polynomial P, the equation P(z)=0 always has d solutions on the complex plane, counting multiplicities, where d is the degree of P.<\/span><\/p>\n<div>\n<div>In this talk, I&#8217;ll discuss the results related to F.T.A. in number theory, complex analysis and geometry. In particular, I&#8217;ll describe the integer solutions of the Fermat&#8217;s equation (Faltings&#8217; theorem), and related Diophantine equations (Diophantine approximation); the Little Picard theorem in complex analysis (viewed as a generalization of F.T. A.)<br \/>\nand overall so-called Nevanlinna theory; \u00a0how the Nevanlinna theory is related to Diophantine approximation. Finally, I&#8217;ll discuss the study of Gauss map of minimal surfaces as part of application of the Nevanlinna theory.<\/div>\n<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Professor:\u00a0Min Ru, Professor, Department of Mathematics, University of Houston, USA Title:\u00a0Results related to F.T.A. in number theory, complex analysis and geometry plications Abstract:\u00a0The fundamental theorem of algebra (F.T.A.) states that for every complex polynomial P, the equation P(z)=0 always has d solutions on the complex plane, counting multiplicities, where d is the degree of P. [&hellip;]<\/p>\n","protected":false},"author":333,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-477","post","type-post","status-publish","format-standard","hentry","category-spring-2022"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3kCtT-7H","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/477","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/users\/333"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/comments?post=477"}],"version-history":[{"count":3,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/477\/revisions"}],"predecessor-version":[{"id":503,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/477\/revisions\/503"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/media?parent=477"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/categories?post=477"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/tags?post=477"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}