{"id":2029,"date":"2026-05-01T04:27:57","date_gmt":"2026-05-01T04:27:57","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/apde\/?p=2029"},"modified":"2026-05-01T04:27:57","modified_gmt":"2026-05-01T04:27:57","slug":"claude-warnick-university-of-cambridge","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2026\/05\/01\/claude-warnick-university-of-cambridge\/","title":{"rendered":"Claude Warnick (University of Cambridge)"},"content":{"rendered":"<p>The APDE seminar on Monday, 5\/4, will be given by Claude Warnick (University of Cambridge) in-person in <strong>Evans 736,<\/strong>\u00a0and will also be broadcasted online via Zoom from\u00a0<strong>4:10pm to 5:00pm PST<\/strong>. To participate, please email Adam Black (adamblack<span id=\"eeb-322338-403021\"><span id=\"eeb-843318-171438\"><span id=\"eeb-203570-882396\"><span id=\"eeb-990440-551518\"><span id=\"eeb-688663-335757\"><span id=\"eeb-951702-73120\"><span id=\"eeb-183542-482341\"><span id=\"eeb-725178-862757\"><span id=\"eeb-367675-784580\">@berkeley.edu<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>).<\/p>\n<p><strong>Title<\/strong>: Small data global well posedness of the vacuum Einstein equations in centred Newman-Unti gauge<\/p>\n<p><strong>Abstract:<\/strong>The global stability of Minkowski spacetime is a foundational question in mathematical relativity, and the proof of this result by Christodoulou and Klainerman in their `94 monograph is a landmark achievement in the field. The result has been re-proved in several ways, most notably by Lindblad-Rodnianski `04. In this talk I shall present a new proof with Jonathan Luk and Sun-Jin Oh based on a single coordinate system constructed from outgoing lightcones emanating from a singe central geodesic. In this coordinate system the Einstein equations have a remarkably elegant structure, as noted by Newman-Unti in `62, which can be exploited to give an efficient proof of a wide range of results in the literature.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The APDE seminar on Monday, 5\/4, will be given by Claude Warnick (University of Cambridge) in-person in Evans 736,\u00a0and will also be broadcasted online via Zoom from\u00a04:10pm to 5:00pm PST. To participate, please email Adam Black (adamblack@berkeley.edu). Title: Small data global well posedness of the vacuum Einstein equations in centred Newman-Unti gauge Abstract:The global stability [&hellip;]<\/p>\n","protected":false},"author":119,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2029","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/2029","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/119"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=2029"}],"version-history":[{"count":1,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/2029\/revisions"}],"predecessor-version":[{"id":2030,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/2029\/revisions\/2030"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=2029"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=2029"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=2029"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}