{"id":4513,"date":"2022-05-04T10:01:04","date_gmt":"2022-05-04T08:01:04","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/complex-projective-structures-and-hilberts-xxi-problem-lorenzo-ruffoni-universita-di-bologna\/"},"modified":"2022-05-04T10:01:04","modified_gmt":"2022-05-04T08:01:04","slug":"complex-projective-structures-and-hilberts-xxi-problem-lorenzo-ruffoni-universita-di-bologna","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/complex-projective-structures-and-hilberts-xxi-problem-lorenzo-ruffoni-universita-di-bologna\/","title":{"rendered":"Complex projective structures and Hilbert&#8217;s XXI problem &#8211; Lorenzo Ruffoni (Universit\u00e0 di Bologna)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Sala Seminari (Dip. Matematica).<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>Complex projective structures are geometric structures locally modelled on the geometry of the Riemann sphere with its group of M\u00f6bius transformations PSL(2,C). As this space appears as a natural boundary at infinity for the hyperbolic space, a typical feature of these structures is the interplay between complex analysis and hyperbolic geometry, which gives rise to a rich deformation theory. After reviewing some of the main properties of their deformation space, we will discuss how the study of complex projective structures can provide solutions to Hilbert&#8217;s XXI problem about monodromy groups of certain classes of ODEs on Riemann surfaces. Sito web: http:\/\/people.dm.unipi.it\/babygeometri\/ <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Complex projective structures are geometric structures locally modelled on the geometry of the Riemann sphere with its group of M\u00f6bius transformations PSL(2,C). As this space appears as a natural boundary at infinity for the hyperbolic space, a&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/complex-projective-structures-and-hilberts-xxi-problem-lorenzo-ruffoni-universita-di-bologna\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4513","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1526315400,"unipievents_enddate":1526320800,"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\/4513","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\/4513\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4513"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4513"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4513"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}