{"id":6841,"date":"2022-10-11T07:49:46","date_gmt":"2022-10-11T05:49:46","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/tba-miroslav-rapcak-cern\/"},"modified":"2022-10-25T18:49:57","modified_gmt":"2022-10-25T16:49:57","slug":"tba-miroslav-rapcak-cern","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-miroslav-rapcak-cern\/","title":{"rendered":"Coherent Sheaves, Quivers and Affine-Yangian Representations &#8211; Miroslav Rapcak (CERN)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Department of Mathematics, Aula Seminari`.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>According to the famous result of Schiffmann and Vasserot, the cohomology of the ADHM moduli space carries the structure of an affine-Yangian module. For the purpose of our talk, it is useful to view this moduli space from a three-dimensional perspective of the derived category of coherent sheaves on $\\mathbb{C}^3$. More concretely, one can interpret the ADHM moduli space as parametrizing extensions of a coherent sheaf on $\\mathbb{C^2}\\subset \\mathbb{C}^3$ by skyscraper sheaves. It is then natural to ask whether exchanging such a &#8220;framing&#8221; non-compact sheaf by a different one leads to other representations of the algebra. In this talk, I am going to give an overview of some of the developments in this direction and comment on various predictions originating from physics.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/124\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>According to the famous result of Schiffmann and Vasserot, the cohomology of the ADHM moduli space carries the structure of an affine-Yangian module. For the purpose of our talk, it is useful to view this moduli space from a three-dimensional&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-miroslav-rapcak-cern\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-6841","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1667491200,"unipievents_enddate":1667494800,"unipievents_place":"Department of Mathematics, Aula Seminari`.","unipievents_externalid":124,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/6841","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":1,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/6841\/revisions"}],"predecessor-version":[{"id":6958,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/6841\/revisions\/6958"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=6841"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=6841"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=6841"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}