{"id":9835,"date":"2023-08-30T12:18:54","date_gmt":"2023-08-30T10:18:54","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/tba-souvik-goswami-university-of-barcelona\/"},"modified":"2023-10-19T15:17:14","modified_gmt":"2023-10-19T13:17:14","slug":"tba-souvik-goswami-university-of-barcelona","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-souvik-goswami-university-of-barcelona\/","title":{"rendered":"Periods of Mixed Hodge Structures associated to algebraic cycles &#8211; Souvik Goswami (University of Barcelona)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Department of Mathematics, Aula Seminari.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>Given a pair of algebraic cycles which are homologous to zero, and are in complimentary codimensions, R.Hain, S.Bloch, et.al., in the 1990s established a mixed Hodge structure associated to the pair. A period of this mixed Hodge structure is a real number, which is called the \u2018height\u2019 pairing. In this talk I will explain the construction by Hain, and also motivate a similar construction attached to a pair of Bloch\u2019s higher algebraic cycles. This is a joint work in progress with Dr. Greg Pearlstein and Dr. Jos\u00e9 Ignacio Burgos Gil.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/203\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given a pair of algebraic cycles which are homologous to zero, and are in complimentary codimensions, R.Hain, S.Bloch, et.al., in the 1990s established a mixed Hodge structure associated to the pair. A period of this mixed Hodge structure is a real&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-souvik-goswami-university-of-barcelona\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-9835","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1698251400,"unipievents_enddate":1698255000,"unipievents_place":"Department of Mathematics, Aula Seminari.","unipievents_externalid":203,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/9835","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\/9835\/revisions"}],"predecessor-version":[{"id":10241,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/9835\/revisions\/10241"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=9835"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=9835"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=9835"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}