{"id":6678,"date":"2022-09-27T07:46:34","date_gmt":"2022-09-27T05:46:34","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/tba-adam-gyenge-alfred-renyi-institute-of-mathematics\/"},"modified":"2022-10-12T18:38:42","modified_gmt":"2022-10-12T16:38:42","slug":"the-heisenberg-category-of-a-category-adam-gyenge-alfred-renyi-institute-of-mathematics","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/the-heisenberg-category-of-a-category-adam-gyenge-alfred-renyi-institute-of-mathematics\/","title":{"rendered":"The Heisenberg category of a category &#8211; \u00c1d\u00e1m Gyenge (Alfr\u00e9d R\u00e9nyi Institute of Mathematics)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Department of Mathematics, Aula Magna.<\/p>\n<h4 class=\"mt-4\">Abstract<\/h4>\n<p><span style=\"color:#333333\">The Heisenberg algebra associated with a lattice is a much-investigated object originating in quantum theory. Khovanov introduced<\/span><br \/>\n<span style=\"color:#333333\">recently a categorification of the infinite Heisenberg algebra<\/span><br \/>\n<span style=\"color:#333333\">associated with the free boson or, equivalently, a rank 1 lattice,<\/span><br \/>\n<span style=\"color:#333333\">using a graphical construction involving planar diagrams. We extend<\/span><br \/>\n<span style=\"color:#333333\">Khovanov\u2019s graphical construction to derived categories of smooth and<\/span><br \/>\n<span style=\"color:#333333\">projective varieties or, more generally, to categories having a Serre<\/span><br \/>\n<span style=\"color:#333333\">functor. In our case, the underlying lattice will be the (numerical)<\/span><br \/>\n<span style=\"color:#333333\">Grothendieck group of the category. We also obtain a 2-representation<\/span><br \/>\n<span style=\"color:#333333\">of our Heisenberg category on a categorical analogue of the Fock<\/span><br \/>\n<span style=\"color:#333333\">space. Joint work with Clemens Koppensteiner and Timothy Logvinenko.<\/span><\/p>\n<p class=\"mt-4\">Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/111\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Heisenberg algebra associated with a lattice is a much-investigated object originating in quantum theory. Khovanov introducedrecently a categorification of the infinite Heisenberg algebraassociated with the free boson or, equivalently, a rank 1&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/the-heisenberg-category-of-a-category-adam-gyenge-alfred-renyi-institute-of-mathematics\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-6678","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1666191600,"unipievents_enddate":1666195200,"unipievents_place":"Department of Mathematics, Aula Magna.","unipievents_externalid":111,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/6678","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":2,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/6678\/revisions"}],"predecessor-version":[{"id":6891,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/6678\/revisions\/6891"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=6678"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=6678"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=6678"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}