{"id":4949,"date":"2010-09-22T11:07:07","date_gmt":"2010-09-22T11:07:07","guid":{"rendered":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/?p=4949"},"modified":"2010-09-22T11:07:07","modified_gmt":"2010-09-22T11:07:07","slug":"v-golyshev-quantum-motives-linearizations-realizations-use-detections","status":"publish","type":"post","link":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/?p=4949","title":{"rendered":"V. Golyshev: &#8220;Quantum Motives: Linearizations, Realizations, Use, Detections&#8221;"},"content":{"rendered":"<p>Here are my notes from Golyshev&#8217;s talk in Bonn.<\/p>\n<p><a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2010\/09\/Golyshev_1_Bonn_Sep_2010.pdf\">Golyshev_1_Bonn_Sep_2010<\/a><\/p>\n<p>Summary:<\/p>\n<ul>\n<li>a historical analogy: the study of Fano varieties now versus algebraic number theory prior to the proof of the Weil Conjectures<\/li>\n<li>linearization and motives<\/li>\n<li>Tannakian categories<\/li>\n<li>the &#8220;quantum Tannakian category&#8221;<\/li>\n<li>realizations in algebraic number theory: one can detect algebraic varieties by detecting their motives (in practice by detecting their L-functions via Selberg-Stark)<\/li>\n<li>the &#8220;quantum Tate realization&#8221; and quantum detection<\/li>\n<li>the Satake correspondence and its quantum parallel<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Here are my notes from Golyshev&#8217;s talk in Bonn. Golyshev_1_Bonn_Sep_2010 Summary: a historical analogy: the study of Fano varieties now versus algebraic number theory prior to the proof of the Weil Conjectures linearization and motives Tannakian categories the &#8220;quantum Tannakian category&#8221; realizations in algebraic number theory: one can detect algebraic varieties by detecting their motives [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[13,12],"class_list":["post-4949","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-bonn","tag-talk-notes"],"_links":{"self":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/4949","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4949"}],"version-history":[{"count":1,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/4949\/revisions"}],"predecessor-version":[{"id":4950,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/4949\/revisions\/4950"}],"wp:attachment":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4949"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4949"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4949"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}