{"id":9811,"date":"2018-11-23T10:55:34","date_gmt":"2018-11-23T07:55:34","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=9811"},"modified":"2018-12-03T14:07:55","modified_gmt":"2018-12-03T11:07:55","slug":"math-seminar-free-z-pn-complexes-marc-stephan-max-planck-institut-fur-mathematik-bonn-sa-141-140pm-december-3-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-free-z-pn-complexes-marc-stephan-max-planck-institut-fur-mathematik-bonn-sa-141-140pm-december-3-en\/","title":{"rendered":"MATH Seminar: &#8220;Free (Z\/p)^n-complexes,&#8221; Marc Stephan (Max-Planck-Institut f\u00fcr Mathematik, Bonn), SA-141, 1:40PM December 3 (EN)"},"content":{"rendered":"<p>Dear Colleagues and Students, <\/p>\n<p>You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<br \/>\nSpeaker: Marc Stephan (Max-Planck-Institut f\u00fcr Mathematik, Bonn) <\/p>\n<p>&#8220;Free (Z\/p)^n-complexes&#8221; <\/p>\n<p>Abstract: Carlsson conjectured that the sum of mod-p Betti numbers of a finite, free (Z\/p)^n-CW complex is at least 2^n. For p=2, he connected chain complexes with a free (Z\/p)^n-action to DG modules over a polynomial ring in order to establish lower bounds using commutative algebra and algebraic geometry. <\/p>\n<p>In this talk, I will report on joint work with Jeremiah Heller on how to extend this connection to commutative algebra to all primes, and on joint work with Henrik R\u00fcping about non-realizability of (Z\/p)^n-equivariant chain complexes. <\/p>\n<p>Date: Monday, December 3, 2018<br \/>\nTime: 13:40<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 Topology Seminar organized by the Department of Mathematics. Speaker: Marc Stephan (Max-Planck-Institut f\u00fcr Mathematik, Bonn) &#8220;Free (Z\/p)^n-complexes&#8221; Abstract: Carlsson conjectured that the sum of mod-p Betti numbers of a finite, free (Z\/p)^n-CW complex is at least 2^n. For p=2, he [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-free-z-pn-complexes-marc-stephan-max-planck-institut-fur-mathematik-bonn-sa-141-140pm-december-3-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-9811","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/9811","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=9811"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/9811\/revisions"}],"predecessor-version":[{"id":9812,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/9811\/revisions\/9812"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=9811"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=9811"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=9811"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}