{"id":1398,"date":"2019-03-12T14:55:54","date_gmt":"2019-03-12T12:55:54","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1398"},"modified":"2019-03-18T19:11:32","modified_gmt":"2019-03-18T17:11:32","slug":"this-thursday-at-u-haifa-topology-geometry-seminar-on-march-14-2019-at-1210","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1398","title":{"rendered":"This Thursday at U. Haifa Topology &#038; Geometry seminar on March 14, 2019 at 12:10"},"content":{"rendered":"<p style=\"font-weight: 400;\"><strong><u>Geometry\u00a0&amp; Topology Seminar<\/u><\/strong><\/p>\n<p style=\"font-weight: 400;\">Speaker:\u00a0\u00a0Ilan Barnea (University of Haifa)<\/p>\n<p style=\"font-weight: 400;\">Topic:\u00a0\u00a0\u00a0\u00a0Relative \u00e9tale homotopy type and obstructions to rational points.<\/p>\n<p style=\"font-weight: 400;\">Place:\u00a0\u00a0\u00a0 room 614 in the Science &amp; Education Building<\/p>\n<p style=\"font-weight: 400;\">Time\u00a0 \u00a012:10<\/p>\n<p style=\"font-weight: 400;\">Date:\u00a0 Thursday, March 14, 2019<\/p>\n<p style=\"font-weight: 400;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<strong><u>Abstract<\/u><\/strong><strong><u>:<\/u><\/strong><\/p>\n<p>I will discuss the construction of a model structure on the category of pro-simplicial sheaves. Using this model structure I will define the relative homotopy type of a map of topoi, by applying a derived functor. I will explain how this homotopy type can be used to define cohomological obstructions to the existence of rational points on algebraic varieties. These obstructions were mentioned in a previous talk in this seminar.<\/p>\n<p>This is joint work with Tomer Schlank.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Geometry\u00a0&amp; Topology Seminar Speaker:\u00a0\u00a0Ilan Barnea (University of Haifa) Topic:\u00a0\u00a0\u00a0\u00a0Relative \u00e9tale homotopy type and obstructions to rational points. Place:\u00a0\u00a0\u00a0 room 614 in the Science &amp; Education Building Time\u00a0 \u00a012:10 Date:\u00a0 Thursday, March 14, 2019 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Abstract: I will discuss the construction of&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=1398\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,4],"tags":[],"class_list":["post-1398","post","type-post","status-publish","format-standard","hentry","category-gt-seminar","category-seminar"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1398","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1398"}],"version-history":[{"count":2,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1398\/revisions"}],"predecessor-version":[{"id":1405,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1398\/revisions\/1405"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1398"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1398"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1398"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}