{"id":2575,"date":"2025-09-15T00:00:00","date_gmt":"2025-09-14T15:00:00","guid":{"rendered":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/?p=2575"},"modified":"2025-09-15T10:19:04","modified_gmt":"2025-09-15T01:19:04","slug":"%ea%b8%b0%ed%95%98%ec%9d%98%eb%82%a0","status":"publish","type":"post","link":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/%ea%b8%b0%ed%95%98%ec%9d%98%eb%82%a0\/","title":{"rendered":"(2025\ub144 \uac00\uc744) \uae30\ud558\uc758\ub0a0 \uc77c\uc815"},"content":{"rendered":"<ul class=\"org-ul\">\n<li>\uc2dc\uac04 : 2025.9.26 \uc624\ud6c4 12\uc2dc ~ \uc624\ud6c4 6\uc2dc<\/li>\n<li>\uc7a5\uc18c: \uace0\ub824\ub300\ud559\uad50 \uc544\uc0b0\uc774\ud559\uad00 524\ud638<\/li>\n<\/ul>\n<div id=\"outline-container-orgd58f450\" class=\"outline-2\">\n<h2 id=\"orgd58f450\">\uc778\uc0ac<\/h2>\n<div class=\"outline-text-2\" id=\"text-orgd58f450\">\n<ul class=\"org-ul\">\n<li>\uc624\ud6c4 12:00 &#x2013; 1:00<\/li>\n<li>\ud30c\uc790\uc640 \uc74c\ub8cc \uc81c\uacf5\ub429\ub2c8\ub2e4.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"outline-container-orga93b394\" class=\"outline-2\">\n<h2 id=\"orga93b394\">\ucd08\uccad\uac15\uc5f0<\/h2>\n<div class=\"outline-text-2\" id=\"text-orga93b394\">\n<ul class=\"org-ul\">\n<li>1:00 ~ 1:50<\/li>\n<li>\uae40\uc601\uc6b1 (\uace0\ub824\ub300\ud559\uad50 \uba85\uc608\uad50\uc218)<\/li>\n<li>\uc81c\ubaa9 : \ucd94\ud6c4 \uc81c\uacf5<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"outline-container-org47773a1\" class=\"outline-2\">\n<h2 id=\"org47773a1\">\ubc1c\ud45c 1<\/h2>\n<div class=\"outline-text-2\" id=\"text-org47773a1\">\n<ul class=\"org-ul\">\n<li>2:00 ~ 2:30<\/li>\n<li>\ubb38\uc815\uc6b0<\/li>\n<li>Weyl curvature properties of divergence-free traceless <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/ql-cache\/quicklatex.com-03f4a3e29799084f5459abfcd45bf6a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#99;&#104;&#101;&#99;&#107;&#123;&#82;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: 0px;\"\/> tensor<\/li>\n<li>In this talk, we study a complete divergence of Weyl curvature with divergence-free traceless <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/ql-cache\/quicklatex.com-03f4a3e29799084f5459abfcd45bf6a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#99;&#104;&#101;&#99;&#107;&#123;&#82;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: 0px;\"\/> curvature. Specifically, an another formula of the third order divergence of Weyl curvature is calculated. Also, some rigidity properties of Ricci soliton would be proved.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"outline-container-org7e6948d\" class=\"outline-2\">\n<h2 id=\"org7e6948d\">\ubc1c\ud45c 2<\/h2>\n<div class=\"outline-text-2\" id=\"text-org7e6948d\">\n<ul class=\"org-ul\">\n<li>2:30 ~ 3:00<\/li>\n<li>\uc774\uc0c1\ud6c8<\/li>\n<li>Rigidity of initial data sets with boundary<\/li>\n<li>In this talk, we explore the rigidity of initial data sets with boundary in the case where a marginally outer trapped surface with a capillary boundary is embedded in the initial data set. We begin by introducing the notions of an initial data set and a marginally outer trapped with a capillary boundary, and then establish the rigidity of three-dimensional initial data sets with boundary. Finally, we extend these results to prove the rigidity of high dimensional initial data sets.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"outline-container-org88ecdf6\" class=\"outline-2\">\n<h2 id=\"org88ecdf6\">\ubc1c\ud45c 3<\/h2>\n<div class=\"outline-text-2\" id=\"text-org88ecdf6\">\n<ul class=\"org-ul\">\n<li>3:20 ~ 3:50<\/li>\n<li>\ubc15\uc8fc\uc5f0<\/li>\n<li>Stability of minimal hypersurfaces under angle function constraints in warped product manifolds<\/li>\n<li>In 2016, Aledo and Rubio showed that every complete noncompact two-sided minimal surface with positive angle function is stable when immersed in a three-dimensional warped product manifold with a positive warping function whose second derivative is nonnegative. This condition on the angle function is satisfied, for instance, when the surface is locally given as a graph. Inspired by their work, in this talk we discuss the higher-dimensional extension of this result. As an application, this yields that complete oriented noncompact hypersurfaces in Euclidean and hyperbolic spaces, which can be locally represented as minimal graphs, are stable.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"outline-container-orgd47324e\" class=\"outline-2\">\n<h2 id=\"orgd47324e\">\ubc1c\ud45c 4<\/h2>\n<div class=\"outline-text-2\" id=\"text-orgd47324e\">\n<ul class=\"org-ul\">\n<li>3:50~ 4:20<\/li>\n<li>\uc5c4\uae30\uc724<\/li>\n<li>Intro to Kahler geometry and Bergman kernel<\/li>\n<li>I will introduce Kahler geometry and Bergman kernel on compact Kahler Hodge manifolds. Then I will explain how they are related and talk about my recent results.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"outline-container-org1bd9106\" class=\"outline-2\">\n<h2 id=\"org1bd9106\">\ubc1c\ud45c 5<\/h2>\n<div class=\"outline-text-2\" id=\"text-org1bd9106\">\n<ul class=\"org-ul\">\n<li>5:00~ 5:30<\/li>\n<li>\uc774\uc6d0\uc8fc<\/li>\n<li>Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space<\/li>\n<li>In this talk, we will present a result on the value distribution of the Gaussian curvature of complete spacelike constant mean curvature surfaces in the isotropic 3-space <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/ql-cache\/quicklatex.com-0342bae58eb546ae0206c1bf93bc4c3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#73;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: 0px;\"\/>, which is closely related to a Bernstein-type theorem in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/ql-cache\/quicklatex.com-0342bae58eb546ae0206c1bf93bc4c3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#73;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: 0px;\"\/>.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"outline-container-orgfd17faf\" class=\"outline-2\">\n<h2 id=\"orgfd17faf\">\ubc1c\ud45c 6<\/h2>\n<div class=\"outline-text-2\" id=\"text-orgfd17faf\">\n<ul class=\"org-ul\">\n<li>5:30 ~ 6:00<\/li>\n<li>\uc774\uc9c0\ud604<\/li>\n<li>Rigidity of three-manifolds via the magnetically charged Hawking mass<\/li>\n<li>For a two-sided, compact, embedded and strictly stable minimal surface that locally maximizes the magnetically charged Hawking mass, we establish a local rigidity result within a time-symmetric initial data set for the Einstein&#x2013;Maxwell equations with both electric and magnetic charges and a negative cosmological constant. In particular, we show that a neighborhood of the surface is isometric to the dyonic Riessenr&#x2013;Nordstr\\&#8221;{o}m&#x2013;Anti-de Sitter space. Furthermore, we derive an area estimate for the surface expressed in terms of its topology and the relevant physical constrains.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"outline-container-orgdc2250d\" class=\"outline-2\">\n<h2 id=\"orgdc2250d\">\uc800\ub141 \uc2dd\uc0ac<\/h2>\n<div class=\"outline-text-2\" id=\"text-orgdc2250d\">\n<ul class=\"org-ul\">\n<li>6:20 ~<\/li>\n<li>\uc228\ub450\ubd80\ud560\ub9e4\uc9d1<\/li>\n<li>\ubcc0\uacbd\ub420 \uc218 \uc788\uc74c<\/li>\n<\/ul>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc2dc\uac04 : 2025.9.26 \uc624\ud6c4 12\uc2dc ~ \uc624\ud6c4 6\uc2dc \uc7a5\uc18c: \uace0\ub824\ub300\ud559\uad50 \uc544\uc0b0\uc774\ud559\uad00 524\ud638 \uc778\uc0ac \uc624\ud6c4 12:00 &#x2013; 1:00 \ud30c\uc790\uc640 \uc74c\ub8cc \uc81c\uacf5\ub429\ub2c8\ub2e4. \ucd08\uccad\uac15\uc5f0 1:00 ~ 1:50 \uae40\uc601\uc6b1 (\uace0\ub824\ub300\ud559\uad50 \uba85\uc608\uad50\uc218) \uc81c\ubaa9 : \ucd94\ud6c4 \uc81c\uacf5 \ubc1c\ud45c 1 2:00 ~ 2:30 \ubb38\uc815\uc6b0 Weyl curvature properties of divergence-free traceless tensor In this talk, we study a complete divergence of Weyl curvature [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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