{"id":4323,"date":"2022-05-04T09:56:38","date_gmt":"2022-05-04T07:56:38","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/liouville-integrability-an-effective-morales-ramis-simo-theorem-thomas-dreyfus-institut-de-mathematiques-de-toulouse\/"},"modified":"2022-05-04T09:56:38","modified_gmt":"2022-05-04T07:56:38","slug":"liouville-integrability-an-effective-morales-ramis-simo-theorem-thomas-dreyfus-institut-de-mathematiques-de-toulouse","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/liouville-integrability-an-effective-morales-ramis-simo-theorem-thomas-dreyfus-institut-de-mathematiques-de-toulouse\/","title":{"rendered":"Liouville integrability: an effective Morales-Ramis-Simo  theorem &#8211; Thomas Dreyfus (Institut de Math\u00e9matiques de Toulouse)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Sala Conferenze (Puteano, Centro De Giorgi).<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>Morales-Ramis theorem roughly states as follows: Given an Hamiltonian system, we may linearize it to obtain the variational equation. Then, we associate to the variational equation a group, the  differential Galois group. Morales and Ramis have proved that if the Hamiltonian system is integrable in a certain sense, then the Galois group has a certain algebraic property. This theorem has been generalized by Morales-Ramis-Simo. In this talk, we will explain how to check effectively whether the algebraic property of the Galois group is satisfied or not. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Morales-Ramis theorem roughly states as follows: Given an Hamiltonian system, we may linearize it to obtain the variational equation. Then, we associate to the variational equation a group, the differential Galois group. Morales and Ramis have&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/liouville-integrability-an-effective-morales-ramis-simo-theorem-thomas-dreyfus-institut-de-mathematiques-de-toulouse\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4323","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1432818000,"unipievents_enddate":1432821600,"unipievents_place":"Sala Conferenze (Puteano, Centro De Giorgi).","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\/4323","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\/4323\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4323"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4323"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4323"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}