{"id":1633,"date":"2020-01-12T21:30:55","date_gmt":"2020-01-12T19:30:55","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1633"},"modified":"2020-01-16T16:44:10","modified_gmt":"2020-01-16T14:44:10","slug":"this-week-thursday-at-1100-u-haifa-topology-geometry-seminar-on-january-16-2020","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1633","title":{"rendered":"This week, Thursday at 11:00, U. Haifa Topology &#038; Geometry seminar on January 16, 2020"},"content":{"rendered":"<p style=\"font-weight: 400;\"><strong><u>Geometry\u00a0&amp; Topology Seminar<\/u><\/strong><\/p>\n<p style=\"font-weight: 400;\">Speaker:\u00a0Reconstruction of formal schemes using their derived categories<\/p>\n<p style=\"font-weight: 400;\">Topic:\u00a0 Saurabh Singh\u00a0\u00a0(Ben-Gurion)<\/p>\n<p style=\"font-weight: 400;\">Place:\u00a0 Room 614 in the Science &amp; Education Building<\/p>\n<p style=\"font-weight: 400;\">Time:\u00a0 \u00a011:00<\/p>\n<p style=\"font-weight: 400;\">Date:\u00a0 Thursday, January 16,\u00a0 2020<\/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>We give a faithful embedding of the category of separated (or of finite Krull<\/p>\n<p>dimension) noetherian formal schemes into the category of tensor triangulated<\/p>\n<p>categories with unit. This can be viewed as a generalization of the work of Paul<\/p>\n<p>Balmer over ordinary schemes where he uses the category of perfect complexes<\/p>\n<p>to give an embedding. Over noetherian formal schemes, it is more convenient to<\/p>\n<p>use the derived category Dqct( ) of modules whose homologies are quasi-coherent<\/p>\n<p>and torsion. In this context, we use the classification of localizing subcategories of<\/p>\n<p>Dqct(X) for a noetherian formal scheme X, as given by Leovigildo Alonso Tarrio,<\/p>\n<p>Ana Jeremiaz Lopez and Maria Jose Souto Salorio to define the topological space<\/p>\n<p>Spc(Dqct(X)) called the spectrum of Dqct(X). We show that there is a natural<\/p>\n<p>ringed structure and an adic structure on Spc(Dqct(X)) which makes it into a<\/p>\n<p>formal scheme and Spc(Dqct(X)) = X.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Geometry\u00a0&amp; Topology Seminar Speaker:\u00a0Reconstruction of formal schemes using their derived categories Topic:\u00a0 Saurabh Singh\u00a0\u00a0(Ben-Gurion) Place:\u00a0 Room 614 in the Science &amp; Education Building Time:\u00a0 \u00a011:00 Date:\u00a0 Thursday, January 16,\u00a0 2020 \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: We give a faithful embedding of the category of&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=1633\">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-1633","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\/1633","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=1633"}],"version-history":[{"count":2,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1633\/revisions"}],"predecessor-version":[{"id":1638,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1633\/revisions\/1638"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}