{"id":4374,"date":"2022-05-04T09:57:50","date_gmt":"2022-05-04T07:57:50","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/discrete-approximations-of-gromovs-simplicial-volume-roberto-frigerio\/"},"modified":"2022-05-04T09:57:50","modified_gmt":"2022-05-04T07:57:50","slug":"discrete-approximations-of-gromovs-simplicial-volume-roberto-frigerio","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/discrete-approximations-of-gromovs-simplicial-volume-roberto-frigerio\/","title":{"rendered":"Discrete approximations of Gromov&#8217;s simplicial volume &#8211; Roberto Frigerio"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Sala Seminari (Dip. Matematica).<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>The simplicial volume is a homotopy invariant of closed manifolds defined by Gromov in 1982. For a manifold M, it is bounded from above by the minimal number of top-dimensional simplices in a triangulation of M, and roughly speaking it measures the minimal size of triangulations of M &#8220;with real coefficients&#8221;. A long-standing conjecture by Gromov asserts that, for aspherical manifolds, the vanishing of the simplicial volume implies the vanishing of the Euler characteristis. In this talk I describe an approach to this conjecture that makes use of discrete approximations of the simplicial volume in towers of coverings. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>The simplicial volume is a homotopy invariant of closed manifolds defined by Gromov in 1982. For a manifold M, it is bounded from above by the minimal number of top-dimensional simplices in a triangulation of M, and roughly speaking it measures the&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/discrete-approximations-of-gromovs-simplicial-volume-roberto-frigerio\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4374","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1458208800,"unipievents_enddate":1458212400,"unipievents_place":"Sala Seminari (Dip. Matematica).","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4374","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\/4374\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4374"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4374"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4374"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}