{"id":254,"date":"2021-04-20T07:11:11","date_gmt":"2021-04-20T07:11:11","guid":{"rendered":"https:\/\/geometry.ulb.ac.be\/bowl\/?page_id=254"},"modified":"2021-04-26T10:07:11","modified_gmt":"2021-04-26T10:07:11","slug":"robert-haslhofer-toronto","status":"publish","type":"page","link":"https:\/\/geometry.ulb.ac.be\/bowl\/robert-haslhofer-toronto\/","title":{"rendered":"Robert Haslhofer (Toronto)"},"content":{"rendered":"\n<p>Robert Haslhofer will talk on 4th May at 1.45pm UK time, 2.45pm Belgian time. Robert&#8217;s title is <em>&#8220;Mean curvature flow through neck-singularities&#8221; <\/em>and his abstract is below.<\/p>\n\n\n\n<!--more-->\n\n\n\n<h4 class=\"wp-block-heading\">Mean curvature flow through neck-singularities<\/h4>\n\n\n\n<p><em>In this talk, I will explain our recent work showing that mean curvature flow through neck-singularities is unique. The key is a classification result for ancient asymptotically cylindrical flows that describes all possible blowup limits near a neck-singularity. In particular, this confirms Ilmanen\u2019s mean-convex neighborhood conjecture, and more precisely gives a canonical neighborhood theorem for neck-singularities. Furthermore, assuming the multiplicity-one conjecture, we conclude that for embedded two-spheres mean curvature flow through singularities is well-posed. The two-dimensional case is joint work with Choi and Hershkovits, and the higher-dimensional case is joint with Choi, Hershkovits and White.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Robert Haslhofer will talk on 4th May at 1.45pm UK time, 2.45pm Belgian time. Robert&#8217;s title is &#8220;Mean curvature flow through neck-singularities&#8221; and his abstract is below.<\/p>\n","protected":false},"author":1,"featured_media":65,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"class_list":{"0":"post-254","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"entry"},"featured_image_src":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-content\/uploads\/sites\/8\/2020\/08\/Oak-Asatru-Blot-Bowl-by-Dragonoak-600x400.jpg","featured_image_src_square":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-content\/uploads\/sites\/8\/2020\/08\/Oak-Asatru-Blot-Bowl-by-Dragonoak-600x600.jpg","_links":{"self":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/254","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/comments?post=254"}],"version-history":[{"count":2,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/254\/revisions"}],"predecessor-version":[{"id":275,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/254\/revisions\/275"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/media\/65"}],"wp:attachment":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/media?parent=254"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}