{"id":818,"date":"2024-05-11T17:23:59","date_gmt":"2024-05-11T09:23:59","guid":{"rendered":"\/math\/?post_type=tkuisotope&#038;p=818"},"modified":"2024-06-26T09:00:46","modified_gmt":"2024-06-26T01:00:46","slug":"818","status":"publish","type":"tkuisotope","link":"\/math\/?tkuisotope=818","title":{"rendered":"113\/3\/12 \u8607\u744b\u67cf\u7814\u7a76\u54e1(\u570b\u5bb6\u79d1\u5b78\u7406\u8ad6\u4e2d\u5fc3\u535a\u58eb\u5f8c)"},"content":{"rendered":"<p><strong>\u984c \u00a0\u76ee<\/strong><strong>\uff1a<\/strong><strong>Glueing constructions in Lagrangian mean curvature flow<\/strong><\/p>\n<p>\u65e5\u00a0 \u671f\uff1a113\u5e743\u670812\u65e5\uff08\u661f\u671f\u4e8c\uff09<\/p>\n<p><strong>\u6642\u00a0 \u9593\uff1a\u4e0b\u534814:30\u958b\u59cb<\/strong><\/p>\n<p><strong>\u5730\u00a0 \u9ede\uff1a\u79d1\u5b78\u9928S433<\/strong><\/p>\n<p><strong>\u6458\u8981<\/strong><strong>Abstract: <\/strong><\/p>\n<p><strong>Glueing construction has been extensively\u00a0utilized\u00a0to construct solutions to nonlinear geometric PDEs. In this talk, I will focus on the glueing construction of solutions to Lagrangian mean curvature flow. Specifically, in the first part of the talk, I will explain the construction of Lagrangian translating solitons by glueing a small special Lagrangian &#8216;Lawlor neck&#8217; into the intersection point of suitably rotated Lagrangian Grim Reaper cylinders. In the second part of the talk, I will discuss a recent joint work with Chung-Jun Tsai and Albert Wood on the glueing construction of solutions to Lagrangian mean curvature flow with infinite time singularities. The flow we constructed presents the following interesting\u00a0behaviour: it starts from an embedded submanifold with a small\u00a0\u2019neck\u2019 and converges, as time goes to infinity, to an immersed submanifold where the necks pinch to the immersed point.<\/strong><\/p>\n<p><strong>\u5099 \u00a0\u8a3b\uff1a<\/strong><strong>\u672c\u696d\u52d9\u8207\u806f\u5408\u570b\u6c38\u7e8c\u767c\u5c55\u76ee\u6a19SDG4\u512a\u8cea\u6559\u80b2\u9023\u7d50<\/strong><\/p>\n<p><strong>ESG+AI=<\/strong><strong>\u221e\u00a0 AI+SDGs=\u221e<\/strong><\/p>\n","protected":false},"template":"","meta":[],"categories":[9],"tags":[],"featured_image_urls":{"full":"","thumbnail":"","medium":"","medium_large":"","large":"","1536x1536":"","2048x2048":""},"post_excerpt_stackable":"<p>\u984c \u00a0\u76ee\uff1aGlueing constructions in Lagrangian mean curvature flow \u65e5\u00a0 \u671f\uff1a113\u5e743\u670812\u65e5\uff08\u661f\u671f\u4e8c\uff09 \u6642\u00a0 \u9593\uff1a\u4e0b\u534814:30\u958b\u59cb \u5730\u00a0 \u9ede\uff1a\u79d1\u5b78\u9928S433 \u6458\u8981Abstract: Glueing construction has been extensively\u00a0utilized\u00a0to construct solutions to nonlinear geometric PDEs. In this talk, I will focus on the glueing construction of solutions to Lagrangian mean curvature flow. Specifically, in the first part of the talk, I will explain the construction of Lagrangian translating solitons by glueing a small special Lagrangian &#8216;Lawlor neck&#8217; into the intersection point of suitably rotated Lagrangian Grim Reaper cylinders. In the second part of the talk, I will discuss a recent joint work with Chung-Jun Tsai and Albert Wood on&hellip;<\/p>\n","category_list":"<a href=\"\/math\/?cat=9\" rel=\"category\">News<\/a>","author_info":{"name":"","url":""},"comments_num":"0 comments","acf":[],"_links":{"self":[{"href":"\/math\/index.php?rest_route=\/wp\/v2\/tkuisotope\/818"}],"collection":[{"href":"\/math\/index.php?rest_route=\/wp\/v2\/tkuisotope"}],"about":[{"href":"\/math\/index.php?rest_route=\/wp\/v2\/types\/tkuisotope"}],"wp:attachment":[{"href":"\/math\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=818"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/math\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=818"},{"taxonomy":"post_tag","embeddable":true,"href":"\/math\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=818"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}