{"id":12226,"date":"2019-10-23T16:29:31","date_gmt":"2019-10-23T13:29:31","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=12226"},"modified":"2019-10-25T16:57:50","modified_gmt":"2019-10-25T13:57:50","slug":"math-seminar-linear-subspaces-in-algebraic-varieties-alexander-degtyarev-sa-141-340pm-october-25-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-linear-subspaces-in-algebraic-varieties-alexander-degtyarev-sa-141-340pm-october-25-en\/","title":{"rendered":"MATH Seminar: &#8220;Linear Subspaces in Algebraic Varieties,&#8221; Alexander Degtyarev, SA-141, 3:40PM October 25 (EN)"},"content":{"rendered":"<p>Dear Colleagues and Students,<\/p>\n<p>You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar<\/p>\n<p>Speaker: Alexander Degtyarev (Bilkent)<\/p>\n<p>&#8220;Linear subspaces in algebraic varieties&#8221;<\/p>\n<p>Abstract: (partially joint with I. Itenberg and J. Ch. Ottem)<br \/>\nI will address several seemingly unrelated problems, such as the 64 lines in Schur&#8217;s quartic x(x^3-y^3)=z(z^3-w^3), 72 tritangents to the plane sextic curve x^6+y^6+z^6=10(x^3y^3+y^3z^3+z^3x^3), and 405 two-spaces in Fermat&#8217;s cubic four-fold x_0^3+x_1^3+ldots+x_5^3=0. The first problem is classical, whereas the two others are relatively new. I will state that the figures indicated are indeed the maxima for the respective problems, and then I will outline the proof (for the last two problems) using a reduction to the so-called Niemeier lattices.<\/p>\n<p>Date: 25 October 2019, Friday<br \/>\nTime: 15:40<br \/>\nPlace: Mathematics Seminar Room, SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dear Colleagues and Students, You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar Speaker: Alexander Degtyarev (Bilkent) &#8220;Linear subspaces in algebraic varieties&#8221; Abstract: (partially joint with I. Itenberg and J. Ch. Ottem) I will address several seemingly unrelated problems, such as the 64 lines in Schur&#8217;s quartic x(x^3-y^3)=z(z^3-w^3), 72 [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-linear-subspaces-in-algebraic-varieties-alexander-degtyarev-sa-141-340pm-october-25-en\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-12226","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/12226","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=12226"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/12226\/revisions"}],"predecessor-version":[{"id":12227,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/12226\/revisions\/12227"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=12226"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=12226"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=12226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}