{"id":1110,"date":"2022-09-06T20:23:46","date_gmt":"2022-09-07T03:23:46","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=1110"},"modified":"2022-09-06T20:23:46","modified_gmt":"2022-09-07T03:23:46","slug":"nets-katz-caltech","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2022\/09\/06\/nets-katz-caltech\/","title":{"rendered":"Nets Katz (Caltech)"},"content":{"rendered":"\n\t\t\t\t\n<p>The APDE seminar on Monday, 9\/12, will be given by Nets Katz (Caltech) in-person in <strong>Evans 740,<\/strong> and will also be broadcasted online via Zoom from <strong>4:10pm to 5:00pm PST<\/strong>. To participate, email Sung-Jin Oh (sjoh@math.berkeley.edu).<\/p>\n\n\n\n<p><strong>Title<\/strong>: A proto-inverse Szemer\\&#8217;edi Trotter theorem<br><\/p>\n\n\n\n<p><strong>Abstract<\/strong>: The symmetric case of the Szemer\\&#8217;edi-Trotter theorem says that any configuration of $N$ lines and $N$ points in the plane has at most $O(N^{4\/3})$ incidences. We describe a recipe involving just $O(N^{1\/3})$ parameters which sometimes (that is, for some choices of the parameters) produces a configuration of $N$ point and $N$ lines. (Otherwise, we say the recipe fails.) We show that any near-extremal example for Szemer\\&#8217;edi Trotter is densely related to a successful instance of the recipe. We discuss the relation of this statement to the inverse Szemer\\&#8217;edi Trotter problem. (joint work in progress with Olivine Sillier.)<\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The APDE seminar on Monday, 9\/12, will be given by Nets Katz (Caltech) in-person in Evans 740, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, email Sung-Jin Oh (sjoh@math.berkeley.edu). Title: A proto-inverse Szemer\\&#8217;edi Trotter theorem Abstract: The symmetric case of the Szemer\\&#8217;edi-Trotter theorem says that any configuration of [&hellip;]<\/p>\n","protected":false},"author":106,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1110","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1110","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\/106"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=1110"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1110\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=1110"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=1110"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=1110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}