{"id":216,"date":"2015-11-10T11:23:27","date_gmt":"2015-11-10T19:23:27","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=216"},"modified":"2015-11-10T11:23:27","modified_gmt":"2015-11-10T19:23:27","slug":"marina-iliopoulou-university-of-birmingham-nov-16th","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2015\/11\/10\/marina-iliopoulou-university-of-birmingham-nov-16th\/","title":{"rendered":"Marina Iliopoulou (University of Birmingham)-Nov 16th"},"content":{"rendered":"<p>\t\t\t\t&nbsp;<\/p>\n<p>Analysis and PDE seminar which will take place in 740 Evans Hall on Nov 16th<\/p>\n<p>Speaker: Marina Iliopoulou (<span style=\"font-size: small\">University of Birmingham)<\/span><\/p>\n<p>Title: Algebraic aspects of harmonic analysis<\/p>\n<p>Abstract: When we want to understand a geometric picture, finding the zero set of a polynomial hiding in it can be very helpful: it can reveal structure and allow computations. Polynomial partitioning, developed by Guth and Katz, is a technique to find such a nice algebraic hypersurface. Polynomial partitioning has revolutionised discrete incidence geometry in the recent years, thanks to the fact that interaction of lines with algebraic hypersurfaces is well-understood. Recently, however, Guth discovered agreeable interaction between tubes and algebraic hypersurfaces, and thus used polynomial partitioning to improve on the 3-dim restriction problem. In this talk, we will present polynomial partitioning via a discrete analogue of the Kakeya problem, and discuss its potential to be extensively used in harmonic analysis.\t\t<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Analysis and PDE seminar which will take place in 740 Evans Hall on Nov 16th Speaker: Marina Iliopoulou (University of Birmingham) Title: Algebraic aspects of harmonic analysis Abstract: When we want to understand a geometric picture, finding the zero set of a polynomial hiding in it can be very helpful: it can reveal structure [&hellip;]<\/p>\n","protected":false},"author":105,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-216","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/216","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\/105"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=216"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/216\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=216"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=216"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=216"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}