{"id":2022,"date":"2022-04-29T11:17:39","date_gmt":"2022-04-29T09:17:39","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/the-beauville-voisin-conjecture-for-mathsfhilbk3-and-the-virasoro-algebra-andrei-negut-mit\/"},"modified":"2022-04-29T11:17:39","modified_gmt":"2022-04-29T09:17:39","slug":"the-beauville-voisin-conjecture-for-mathsfhilbk3-and-the-virasoro-algebra-andrei-negut-mit","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/the-beauville-voisin-conjecture-for-mathsfhilbk3-and-the-virasoro-algebra-andrei-negut-mit\/","title":{"rendered":"The Beauville-Voisin conjecture for $\\mathsf{Hilb}(K3)$ and the Virasoro algebra &#8211; Andrei Negut (MIT)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Dipartimento di Matematica, Aula Magna.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>We give a geometric representation theory proof of a mild version of the Beauville-Voisin Conjecture for Hilbert schemes of $K3$ surfaces, namely the injectivity of the cycle map restricted to the subring of Chow generated by tautological classes. Our approach involves lifting formulas of Lehn and Li-Qin-Wang from cohomology to Chow groups, and using them to solve the problem by invoking the irreducibility criteria of Virasoro algebra modules, due to Feigin-Fuchs. Joint work with Davesh Maulik.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/45\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We give a geometric representation theory proof of a mild version of the Beauville-Voisin Conjecture for Hilbert schemes of $K3$ surfaces, namely the injectivity of the cycle map restricted to the subring of Chow generated by tautological classes.&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/the-beauville-voisin-conjecture-for-mathsfhilbk3-and-the-virasoro-algebra-andrei-negut-mit\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-2022","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1579703400,"unipievents_enddate":1579707000,"unipievents_place":"Dipartimento di Matematica, Aula Magna.","unipievents_externalid":45,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/2022","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\/2022\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=2022"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=2022"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=2022"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}