{"id":1786,"date":"2025-02-07T08:46:43","date_gmt":"2025-02-07T08:46:43","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/apde\/?p=1786"},"modified":"2025-02-07T08:49:21","modified_gmt":"2025-02-07T08:49:21","slug":"hannah-cairo-uc-berkeley","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2025\/02\/07\/hannah-cairo-uc-berkeley\/","title":{"rendered":"Hannah Cairo (UC Berkeley)"},"content":{"rendered":"<p>The APDE seminar on Monday, <span data-sheets-root=\"1\">2\/10<\/span>, will be given by Hannah Cairo (UC Berkeley) in-person in <strong>Evans 736,<\/strong> and will also be broadcasted online via Zoom from <strong>4:10pm to 5:00pm PST<\/strong>. To participate, please email Anuj Kumar (<span id=\"eeb-246247-12367\"><span id=\"eeb-845566-653330\"><span class=\"gI\"><span class=\"qu\" role=\"gridcell\"><span class=\"go\">anujkumar@berkeley.edu<\/span><\/span><\/span><\/span><\/span>).<\/p>\n<p><strong>Title:\u00a0<\/strong>A Counterexample to the Mizohata-Takeuchi Conjecture<\/p>\n<p><strong>Abstract:\u00a0<\/strong>We derive a family of $L^p$ estimates on the X-Ray transform of positive measures in $\\mathbb{R}^d$, which we use to construct a $\\log R$-loss counterexample to the Mizohata-Takeuchi conjecture for every $C^2$ hypersurface in $\\mathbb{R}^d$ that does not lie in a hyperplane. In particular, endpoint multilinear restriction estimates cannot be derived from MT-type estimates.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The APDE seminar on Monday, 2\/10, will be given by Hannah Cairo (UC Berkeley) in-person in Evans 736, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, please email Anuj Kumar (anujkumar@berkeley.edu). Title:\u00a0A Counterexample to the Mizohata-Takeuchi Conjecture Abstract:\u00a0We derive a family of $L^p$ estimates on the X-Ray transform [&hellip;]<\/p>\n","protected":false},"author":112,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1786","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1786","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\/112"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=1786"}],"version-history":[{"count":2,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1786\/revisions"}],"predecessor-version":[{"id":1789,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1786\/revisions\/1789"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=1786"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=1786"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=1786"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}