{"id":1629,"date":"2026-04-29T11:49:47","date_gmt":"2026-04-29T18:49:47","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/hades\/?p=1629"},"modified":"2026-04-29T17:15:07","modified_gmt":"2026-04-30T00:15:07","slug":"applications-of-decoupling-inequality-in-vinogradov-problems-and-discrete-strichartz-estimates","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2026\/04\/29\/applications-of-decoupling-inequality-in-vinogradov-problems-and-discrete-strichartz-estimates\/","title":{"rendered":"Applications of decoupling inequality in Vinogradov problems and discrete Strichartz estimates"},"content":{"rendered":"<p>The HADES seminar on Wednesday, <strong>May 6th,<\/strong> will be at <strong>3:30pm<\/strong>\u00a0in\u00a0<strong>Room 736<\/strong>.<\/p>\n<p><strong>Speaker:\u00a0<\/strong>Yuda Chen<\/p>\n<p><strong>Abstract: <\/strong>The decoupling inequality, introduced by Bourgain and Demeter in their celebrated proof of the \u2113\u00b2 decoupling theorem for the paraboloid, has become a fundamental tool in modern harmonic analysis.<\/p>\n<p>This talk will survey its key applications. We first discuss its pivotal role in the Vinogradov Mean Value Theorem. We then focus on more recent applications to proving discrete Strichartz estimates. Finally, we conclude by proposing several conjectures concerning potential extensions of these estimates.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Wednesday, May 6th, will be at 3:30pm\u00a0in\u00a0Room 736. Speaker:\u00a0Yuda Chen Abstract: The decoupling inequality, introduced by Bourgain and Demeter in their celebrated proof of the \u2113\u00b2 decoupling theorem for the paraboloid, has become a fundamental tool in modern harmonic analysis. This talk will survey its key applications. We first discuss its [&hellip;]<\/p>\n","protected":false},"author":116,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[26],"tags":[],"class_list":["post-1629","post","type-post","status-publish","format-standard","hentry","category-spring-2026"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1629","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=1629"}],"version-history":[{"count":2,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1629\/revisions"}],"predecessor-version":[{"id":1632,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1629\/revisions\/1632"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=1629"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=1629"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=1629"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}