{"id":216,"date":"2021-01-26T16:37:47","date_gmt":"2021-01-26T16:37:47","guid":{"rendered":"http:\/\/geometry.ulb.ac.be\/bowl\/?page_id=216"},"modified":"2021-02-23T07:50:27","modified_gmt":"2021-02-23T07:50:27","slug":"gabor-szekelyhidi-notre-dame","status":"publish","type":"page","link":"https:\/\/geometry.ulb.ac.be\/bowl\/gabor-szekelyhidi-notre-dame\/","title":{"rendered":"G\u00e1bor Sz\u00e9kelyhidi (Notre Dame)"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">G\u00e1bor Sz\u00e9kelyhidi will talk on 2nd March at 1.45pm UK time, 2.45pm Brussels time. G\u00e1bor&#8217;s title is <em>&#8220;Uniqueness of certain cylindrical tangent cones&#8221;<\/em> and his abstract is below.<\/p>\n\n\n\n<!--more-->\n\n\n\n<h4 class=\"wp-block-heading\">Uniqueness of certain cylindrical tangent cones<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Leon Simon showed that if an area minimizing hypersurface<br>admits a cylindrical tangent cone of the form C x R, then this tangent<br>cone is unique for a large class of minimal cones C. One of the<br>hypotheses in this result is that C x R is integrable and this<br>excludes the case when C is the Simons cone over S^3 x S^3. The main<br>result in this talk is that the uniqueness of the tangent cone holds<br>in this case too. The new difficulty in this non-integrable situation<br>is to develop a version of the Lojasiewicz-Simon inequality that can<br>be used in the setting of tangent cones with non-isolated<br>singularities.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>G\u00e1bor Sz\u00e9kelyhidi will talk on 2nd March at 1.45pm UK time, 2.45pm Brussels time. G\u00e1bor&#8217;s title is &#8220;Uniqueness of certain cylindrical tangent cones&#8221; and his abstract is below.<\/p>\n","protected":false},"author":1,"featured_media":94,"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":["post-216","page","type-page","status-publish","has-post-thumbnail","entry"],"featured_image_src":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-content\/uploads\/sites\/8\/2020\/08\/Origamiceramic-fraction-bowl-by-rgieseking-600x400.jpg","featured_image_src_square":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-content\/uploads\/sites\/8\/2020\/08\/Origamiceramic-fraction-bowl-by-rgieseking-600x600.jpg","_links":{"self":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/216","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=216"}],"version-history":[{"count":2,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/216\/revisions"}],"predecessor-version":[{"id":236,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/pages\/216\/revisions\/236"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/media\/94"}],"wp:attachment":[{"href":"https:\/\/geometry.ulb.ac.be\/bowl\/wp-json\/wp\/v2\/media?parent=216"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}