{"id":2220,"date":"2021-11-25T10:44:13","date_gmt":"2021-11-25T08:44:13","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2220"},"modified":"2021-12-02T09:40:22","modified_gmt":"2021-12-02T07:40:22","slug":"u-haifa-topology-geometry-seminar-sunday-nov-28-2021-speaker-jereon-hekking-kth-title-graded-algebras-projective-spectra-and-blow-ups-in-derived-algebraic-geometry","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2220","title":{"rendered":"U. Haifa Topology &#038; Geometry seminar: Sunday, NOV 28, 2021. Speaker: Jereon Hekking (KTH). &#8220;Title:\u00a0 Graded algebras, projective spectra and blow-ups in derived algebraic geometry&#8221;"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Time: <\/strong>Sunday November 28th 17:00 (Israel Time)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Location: <\/strong>On Zoom<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Speaker: <\/strong>Jereon Hekking (KTH)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Title: <\/strong>Graded algebras, projective spectra and blow-ups in derived algebraic geometry<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Recording:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/us02web.zoom.us\/rec\/share\/Cb6AhzbntZk0ipwpYjRkoAlQNTYyhGOuiY42sSP0AcoSz7i0hacCJNQrrVoqlWw.sOAp1cmjCc-0TKjv\">https:\/\/us02web.zoom.us\/rec\/share\/Cb6AhzbntZk0ipwpYjRkoAlQNTYyhGOuiY42sSP0AcoSz7i0hacCJNQrrVoqlWw.sOAp1cmjCc-0TKjv<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Abstract.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The goal of this talk is to define the derived blow-up of a closed immersion of derived schemes, and to mention a few key properties of this construction. After reviewing derived schemes, we will first introduce the infinity category of graded, simplicial rings as a free completion along sifted colimits, and explain how one takes the derived projective spectrum of such a gadget. We then introduce the derived extended Rees algebra via Weil restrictions, which is the key ingredient for derived blow-ups.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is based on joint work with Adeel Khan and David Rydh<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>ZOOM COORDINATES:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/us02web.zoom.us\/j\/84987591026?pwd=aTJWcFlOSldKck5leGt2d25CYkRqZz09\">https:\/\/us02web.zoom.us\/j\/84987591026?pwd=aTJWcFlOSldKck5leGt2d25CYkRqZz09<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Meeting ID: 849 8759 1026<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Time: Sunday November 28th 17:00 (Israel Time) Location: On Zoom Speaker: Jereon Hekking (KTH) Title: Graded algebras, projective spectra and blow-ups in derived algebraic geometry Recording: https:\/\/us02web.zoom.us\/rec\/share\/Cb6AhzbntZk0ipwpYjRkoAlQNTYyhGOuiY42sSP0AcoSz7i0hacCJNQrrVoqlWw.sOAp1cmjCc-0TKjv Abstract. The goal of this talk is to define the derived blow-up of&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2220\">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-2220","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\/2220","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=2220"}],"version-history":[{"count":3,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2220\/revisions"}],"predecessor-version":[{"id":2225,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2220\/revisions\/2225"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2220"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2220"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2220"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}