{"id":7303,"date":"2022-11-25T23:26:04","date_gmt":"2022-11-25T22:26:04","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=7303"},"modified":"2022-11-25T23:26:08","modified_gmt":"2022-11-25T22:26:08","slug":"some-remarks-on-the-component-group-of-the-sato-tate-group","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/some-remarks-on-the-component-group-of-the-sato-tate-group\/","title":{"rendered":"Some remarks on the component group of the Sato-Tate group &ndash; Victoria Cantoral Farf\u00e1n (Georg-August-Universit\u00e4t G\u00f6ttingen)"},"content":{"rendered":"\n<p>The famous Sato-Tate conjecture for elliptic curves defined over a number field (without complex multiplication) predicts the equidistribution of Frobenius traces with respect to the Haar measure of the corresponding Sato-Tate group under the trace map. This conjecture has already been generalized for higher-dimensional abelian varieties, K3 surfaces, and pure motives of odd weight. It seems then natural to study in detail the Sato-Tate group to tackle the generalized Sato-Tate conjecture.<br>During this talk, we are going to introduce the abovementioned conjecture, and subsequently, we will discuss the component group of the Sato-Tate group associated with abelian varieties defined over a number field of arbitrary dimension. This is joint work with Grzegorz Banaszak.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The famous Sato-Tate conjecture for elliptic curves defined over a number field (without complex multiplication) predicts the equidistribution of Frobenius&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/some-remarks-on-the-component-group-of-the-sato-tate-group\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":61,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-7303","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1669892400,"unipievents_enddate":1669896000,"unipievents_place":"Aula Magna","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\/7303","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\/61"}],"version-history":[{"count":2,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/7303\/revisions"}],"predecessor-version":[{"id":7305,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/7303\/revisions\/7305"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=7303"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=7303"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=7303"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}