{"id":10177,"date":"2023-10-12T16:03:29","date_gmt":"2023-10-12T14:03:29","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/tba-sergej-monavari-epfl\/"},"modified":"2023-10-17T14:13:09","modified_gmt":"2023-10-17T12:13:09","slug":"tba-sergej-monavari-epfl","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-sergej-monavari-epfl\/","title":{"rendered":"A McKay correspondence in Donaldson-Thomas theory of Calabi-Yau 4-folds &#8211; Sergej Monavari (EPFL)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Department of Mathematics, Aula Seminari.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>Donaldson-Thomas theory is classically defined for moduli spaces of sheaves over a Calabi-Yau threefold. Thanks to recent foundational&nbsp;work of Cao-Leung,&nbsp;Borisov-Joyce and Oh-Thomas, DT theory has been extended&nbsp;to&nbsp;Calabi-Yau 4-folds. We discuss how, in this context, one can define natural K-theoretic refinements of Donaldson-Thomas invariants (counting sheaves on Hilbert schemes) and Pandharipande-Thomas invariants (counting sheaves on moduli spaces of stable pairs) and how \u2014 conjecturally \u2014 they are related. Finally, we introduce&nbsp;an extension of DT invariants to Calabi-Yau 4-orbifolds, and propose a McKay-type correspondence, which we expect to be suitably&nbsp;interpreted as a wall-crossing phenomenon. Joint work with Yalong Cao and Martijn Kool.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/215\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Donaldson-Thomas theory is classically defined for moduli spaces of sheaves over a Calabi-Yau threefold. Thanks to recent foundational\u00a0work of Cao-Leung,\u00a0Borisov-Joyce and Oh-Thomas, DT theory has been extended\u00a0to\u00a0Calabi-Yau 4-folds. We discuss how,&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-sergej-monavari-epfl\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-10177","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1699455600,"unipievents_enddate":1699459200,"unipievents_place":"Department of Mathematics, Aula Seminari.","unipievents_externalid":215,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10177","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\/10177\/revisions"}],"predecessor-version":[{"id":10204,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10177\/revisions\/10204"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=10177"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=10177"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=10177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}