{"id":2034,"date":"2022-04-29T11:21:01","date_gmt":"2022-04-29T09:21:01","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/vector-bundles-on-fano-threefolds-and-k3-surfaces-arnaud-beauville-universite-cote-dazur-nice\/"},"modified":"2022-04-29T11:21:01","modified_gmt":"2022-04-29T09:21:01","slug":"vector-bundles-on-fano-threefolds-and-k3-surfaces-arnaud-beauville-universite-cote-dazur-nice","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/vector-bundles-on-fano-threefolds-and-k3-surfaces-arnaud-beauville-universite-cote-dazur-nice\/","title":{"rendered":"Vector bundles on Fano threefolds and $K3$ surfaces &#8211; Arnaud Beauville (Universit\u00e9 C\u00f4te d&#8217;Azur, Nice)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Dipartimento di Matematica, Aula Magna.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>Let $X$ be a Fano threefold, and let $S$ be a smooth anticanonical surface (hence a $K3$) lying in $X$. Any moduli space of simple vector bundles on $S$ carries a holomorphic symplectic structure. Following an idea of Tyurin, I will show that in some cases those vector bundles which come from $X$ form a Lagrangian subvariety of the moduli space. Most of the talk will be devoted to concrete examples of this situation.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/33\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let $X$ be a Fano threefold, and let $S$ be a smooth anticanonical surface (hence a $K3$) lying in $X$. Any moduli space of simple vector bundles on $S$ carries a holomorphic symplectic structure. Following an idea of Tyurin, I will show that in&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/vector-bundles-on-fano-threefolds-and-k3-surfaces-arnaud-beauville-universite-cote-dazur-nice\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-2034","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1554303600,"unipievents_enddate":1554307200,"unipievents_place":"Dipartimento di Matematica, Aula Magna.","unipievents_externalid":33,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/2034","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":0,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/2034\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=2034"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=2034"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=2034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}