{"id":272,"date":"2025-12-26T16:52:14","date_gmt":"2025-12-26T08:52:14","guid":{"rendered":"https:\/\/www.math.ntnu.edu.tw\/coidap\/?p=272"},"modified":"2026-01-05T14:13:55","modified_gmt":"2026-01-05T06:13:55","slug":"1141022speech","status":"publish","type":"post","link":"https:\/\/www.math.ntnu.edu.tw\/coidap\/2025\/12\/26\/1141022speech\/","title":{"rendered":"<span style=\"color:#3566BD\">[\u5c08\u984c\u6f14\u8b1b] <\/span>\u301010\u670822\u65e5\u3011\u9673\u67cf\u63da \/ Ricci flow and its geometric applications"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"272\" class=\"elementor elementor-272\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a1c04f3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a1c04f3\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6ae2711\" data-id=\"6ae2711\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5ad42d83 elementor-widget elementor-widget-heading\" data-id=\"5ad42d83\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Ricci flow and its geometric applications<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-48399cb2 elementor-widget elementor-widget-spacer\" data-id=\"48399cb2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6c6172c3 elementor-widget elementor-widget-text-editor\" data-id=\"6c6172c3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><strong><span style=\"color: #000080; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal;\">Time:<\/span><span style=\"color: #000080; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal;\"> Oct. 22<\/span><\/strong><span style=\"color: #000080; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: bold;\"> (Wed.) 14:20-15:10<br \/><\/span><span style=\"color: #000080; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: bold;\">Venue: M212, Gongguan Campus, NTNU<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4958d7f8 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"4958d7f8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<div style=\"list-style: none; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; margin-top: 10px; font-size: 22px; line-height: 26px; text-align: center; color: #cc6633; font-weight: bold;\"><p>Asst. Prof. Chan, Pak-Yeung<br \/>\u9673\u67cf\u63da \u52a9\u7406\u6559\u6388<\/p><h4><span style=\"color: #ab7326;\">Department of Mathematics, NTHU<br \/>\u6e05\u83ef\u5927\u5b78 \u6578\u5b78\u7cfb<\/span><\/h4><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-56840331 elementor-widget elementor-widget-spacer\" data-id=\"56840331\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7fdfcd42 elementor-widget elementor-widget-text-editor\" data-id=\"7fdfcd42\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>We start with some basic concepts in Riemannian geometry and discuss an important tool in the subject called the Ricci flow, which was introduced by Hamilton in 1982. Ricci flow can be viewed as a heat flow of the Riemannian metric which evolves in the direction of its Ricci curvature. Ricci soliton is a special solution to the Ricci flow and plays a crucial role in the singularity analysis of the flow. In the later part of the talk, we will cover some results which are based on my joint works with Man-Chun Lee and Luke Peachey.<\/p><p>More Information:\u00a0<a href=\"https:\/\/sites.google.com\/view\/pychanmath\/home\" target=\"_blank\" rel=\"noopener\">https:\/\/sites.google.com\/view\/pychanmath\/home<\/a><\/p><p><em><u>Sponsored by &#8220;Higher Education Sprout Projec<\/u><\/em><em><u>t&#8221; of National Taiwa<\/u><\/em><em><u>n Normal University<\/u><\/em><img decoding=\"async\" class=\"wp-image-252 alignright\" src=\"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/LOGO100-1-273x300.png\" alt=\"\" width=\"52\" height=\"57\" srcset=\"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/LOGO100-1-273x300.png 273w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/LOGO100-1.png 326w\" sizes=\"(max-width: 52px) 100vw, 52px\" \/><img decoding=\"async\" class=\"wp-image-251 alignright\" src=\"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/Center_logo_transparent-1-300x297.jpg\" alt=\"\" width=\"50\" height=\"50\" srcset=\"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/Center_logo_transparent-1-300x297.jpg 300w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/Center_logo_transparent-1-150x150.jpg 150w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/Center_logo_transparent-1-600x600.jpg 600w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/Center_logo_transparent-1.jpg 645w\" sizes=\"(max-width: 50px) 100vw, 50px\" \/><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-77f594ac elementor-widget elementor-widget-image\" data-id=\"77f594ac\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1240\" height=\"758\" src=\"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/\u6f14\u8b1b\u6a19\u5c3e.jpg\" class=\"attachment-full size-full wp-image-245\" alt=\"\" srcset=\"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/\u6f14\u8b1b\u6a19\u5c3e.jpg 1240w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/\u6f14\u8b1b\u6a19\u5c3e-300x183.jpg 300w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/\u6f14\u8b1b\u6a19\u5c3e-1024x626.jpg 1024w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/\u6f14\u8b1b\u6a19\u5c3e-768x469.jpg 768w\" sizes=\"(max-width: 1240px) 100vw, 1240px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t<div class=\"elementor-element elementor-element-f0970ca e-grid e-con-boxed e-con e-parent\" data-id=\"f0970ca\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div 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https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-3-2048x1152.jpg 2048w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-3-800x450.jpg 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-26c1e11 elementor-widget elementor-widget-image\" data-id=\"26c1e11\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-2-1024x576.jpg\" class=\"attachment-large size-large wp-image-275\" alt=\"\" srcset=\"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-2-1024x576.jpg 1024w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-2-300x169.jpg 300w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-2-768x432.jpg 768w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-2-1536x864.jpg 1536w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-2-2048x1152.jpg 2048w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-2-800x450.jpg 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-19dd927 elementor-widget elementor-widget-image\" data-id=\"19dd927\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-1-1024x576.jpg\" class=\"attachment-large size-large wp-image-274\" alt=\"\" srcset=\"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-1-1024x576.jpg 1024w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-1-300x169.jpg 300w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-1-768x432.jpg 768w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-1-1536x864.jpg 1536w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-1-2048x1152.jpg 2048w, https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-content\/uploads\/2025\/12\/1141022-1-800x450.jpg 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Ricci flow and its geometric applications Time: Oct. 22 [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"on","ocean_gallery_id":[],"footnotes":""},"categories":[36,6],"tags":[],"class_list":["post-272","post","type-post","status-publish","format-standard","hentry","category-activity","category-news","entry"],"_links":{"self":[{"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/posts\/272","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/comments?post=272"}],"version-history":[{"count":12,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/posts\/272\/revisions"}],"predecessor-version":[{"id":532,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/posts\/272\/revisions\/532"}],"wp:attachment":[{"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/media?parent=272"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/categories?post=272"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/tags?post=272"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}