{"id":4968,"date":"2010-09-22T11:50:22","date_gmt":"2010-09-22T11:50:22","guid":{"rendered":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/?p=4968"},"modified":"2010-09-22T12:55:23","modified_gmt":"2010-09-22T12:55:23","slug":"v-golyshev-the-apery-class-and-the-gamma-class","status":"publish","type":"post","link":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/?p=4968","title":{"rendered":"V. Golyshev: &#8220;The Apery Class and the Gamma Class&#8221;"},"content":{"rendered":"<p>Here are my notes from Golshev&#8217;s talk at the Extremal Laurent Polynomials workshop at Imperial:<\/p>\n<p><a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2010\/09\/Golyshev_London_Sep_2010.pdf\">Golyshev_London_Sep_2010<\/a><\/p>\n<p>Summary:<\/p>\n<ul>\n<li>a historical analogy: the study of Fano varieties now versus the study of algebraic varieties in the early 1970s<\/li>\n<li>the key idea: classifying Fanos by detecting and classifying Fano quantum motives and their realizations<\/li>\n<li>possible approaches<\/li>\n<li>the Tannakian picture<\/li>\n<li>the quantum Satake correspondence (Golyshev&#8211;Manivel)<\/li>\n<li>two steps in this direction:\u00a0 Ueda&#8217;s proof of the Dubrovin Conjecture for <img src='http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/latex\/c04\/c04f0dd7b574af831b24e2bf22dd8753-ffffff-000000-0.png' alt='Gr(k,n)' title='Gr(k,n)' class='latex' \/>; Galkin&#8211;Golyshev&#8211;Iritani&#8217;s proof that Apery=Gamma<\/li>\n<li>irregular monodromy data for Dubrovin&#8217;s quantum connection<\/li>\n<li>the Extended Dubrovin Conjecture and the Apery=Gamma hypothesis<\/li>\n<li>the Extended Dubrovin Conjecture and the Apery=Gamma hypothesis hold for <img src='http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/latex\/c04\/c04f0dd7b574af831b24e2bf22dd8753-ffffff-000000-0.png' alt='Gr(k,n)' title='Gr(k,n)' class='latex' \/><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Here are my notes from Golshev&#8217;s talk at the Extremal Laurent Polynomials workshop at Imperial: Golyshev_London_Sep_2010 Summary: a historical analogy: the study of Fano varieties now versus the study of algebraic varieties in the early 1970s the key idea: classifying Fanos by detecting and classifying Fano quantum motives and their realizations possible approaches the Tannakian [&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":[14,12],"class_list":["post-4968","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-imperial","tag-talk-notes"],"_links":{"self":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/4968","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=4968"}],"version-history":[{"count":2,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/4968\/revisions"}],"predecessor-version":[{"id":4980,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/4968\/revisions\/4980"}],"wp:attachment":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4968"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4968"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4968"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}