{"id":17517,"date":"2019-10-23T15:30:50","date_gmt":"2019-10-23T12:30:50","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/tr\/?p=17517"},"modified":"2019-10-25T17:05:04","modified_gmt":"2019-10-25T14:05:04","slug":"math-semineri-linear-subspaces-in-algebraic-varieties-alexander-degtyarev-sa-141-1540-25-ekim-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/tr\/math-semineri-linear-subspaces-in-algebraic-varieties-alexander-degtyarev-sa-141-1540-25-ekim-en\/","title":{"rendered":"MATH Semineri: \u201cLinear Subspaces in Algebraic Varieties,\u201d Alexander Degtyarev, SA-141, 15:40 25 Ekim (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>\u201cLinear subspaces in algebraic varieties\u201d<\/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\u2019s 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\u2019s 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) \u201cLinear subspaces in algebraic varieties\u201d Abstract: (partially joint with I. Itenberg and J. Ch. Ottem) I will address several seemingly unrelated problems, such as the 64 lines in Schur\u2019s 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\/tr\/math-semineri-linear-subspaces-in-algebraic-varieties-alexander-degtyarev-sa-141-1540-25-ekim-en\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[],"class_list":["post-17517","post","type-post","status-publish","format-standard","hentry","category-eskipostlar"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts\/17517","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/comments?post=17517"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts\/17517\/revisions"}],"predecessor-version":[{"id":17518,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts\/17517\/revisions\/17518"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/media?parent=17517"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/categories?post=17517"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/tags?post=17517"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}