{"id":10251,"date":"2023-10-21T12:06:20","date_gmt":"2023-10-21T10:06:20","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/rigidity-for-time-changes-of-unipotent-flows-mauro-artigiani-universidad-del-rosario\/"},"modified":"2023-10-21T12:06:20","modified_gmt":"2023-10-21T10:06:20","slug":"rigidity-for-time-changes-of-unipotent-flows-mauro-artigiani-universidad-del-rosario","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/rigidity-for-time-changes-of-unipotent-flows-mauro-artigiani-universidad-del-rosario\/","title":{"rendered":"Rigidity for time-changes of unipotent flows &#8211; Mauro Artigiani (Universidad del Rosario)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>SNS &#8211; Centro De Giorgi.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<div style=\"font-family:Calibri,Arial,Helvetica,sans-serif\"><span><span style=\"font-family:Arial,Helvetica,sans-serif\">Parabolic flows form an intermediate category between elliptic and hyperbolic flows.&nbsp;They exhibit some characteristics associated with non-chaotic systems, and some associated with highly chaotic ones.&nbsp;A fundamental example is the horocycle flow on hyperbolic surfaces and, more generally, homogeneous flows generated by multiplication by a unipotent element on a Lie group.&nbsp;It is much more difficult to produce examples of non-homogeneous parabolic flows, since perturbations usually lead to hyperbolic flows.<\/span><\/span><\/div>\n<p><span><span style=\"font-family:Calibri,Arial,Helvetica,sans-serif\">The simplest perturbation, still in the parabolic realm, is given by time-changes.&nbsp;These have been investigated in detail in the case of the horocycle flow and for nilflows.&nbsp;In this talk, we will give a detailed introduction to the classical theory of horocycles and their time-changes, before presenting our result, joint with Livio Flaminio and Davide Ravotti, on rigidity of time-changes of unipotent flows on finite volume quotients of simple Lie groups, which generalizes Ratner&#8217;s classical work on the horocycle flow.<\/span><\/span><\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/222\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Parabolic flows form an intermediate category between elliptic and hyperbolic flows.\u00a0They exhibit some characteristics associated with non-chaotic systems, and some associated with highly chaotic ones.\u00a0A fundamental example is the horocycle flow on&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/rigidity-for-time-changes-of-unipotent-flows-mauro-artigiani-universidad-del-rosario\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-10251","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1697556600,"unipievents_enddate":1697563800,"unipievents_place":"SNS - Centro De Giorgi.","unipievents_externalid":222,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10251","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\/10251\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=10251"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=10251"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=10251"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}