{"id":4567,"date":"2024-03-06T11:23:40","date_gmt":"2024-03-06T10:23:40","guid":{"rendered":"https:\/\/www.matematica.unina.it\/events\/dott-andres-jaramillo-puentes-examples-of-enumerative-problems-for-arbitrary-fields-copy\/"},"modified":"2024-03-06T11:23:40","modified_gmt":"2024-03-06T10:23:40","slug":"dott-rosario-mennuni-positive-logic-and-automorphisms-of-ordered-abelian-groups-and-valued-fields","status":"publish","type":"ajde_events","link":"https:\/\/www.matematica.unina.it\/?ajde_events=dott-rosario-mennuni-positive-logic-and-automorphisms-of-ordered-abelian-groups-and-valued-fields","title":{"rendered":"Dott. Rosario Mennuni &#8211; &#8220;Positive logic and automorphisms of ordered abelian groups and valued fields&#8221;"},"content":{"rendered":"<p class=\"v1MsoNormal\" style=\"text-align: center;\">Avviso Seminario<br \/>\nDipartimento di Matematica e Applicazioni \u201cRenato Caccioppoli\u201d<br \/>\nUniversit\u00e0 degli Studi di Napoli \u201cFederico II\u201d<br \/>\nMarted\u00ec 5 marzo 2024 Sala Professori I livello, h. 15:00<br \/>\nRosario Mennuni<br \/>\nUniversit\u00e0 di Pisa<br \/>\n\u201cPositive logic and automorphisms of ordered abelian groups and valued<br \/>\nfields\u201d<br \/>\nI will talk about recent joint work with Jan Dobrowolski, where we study ordered<br \/>\nabelian groups with an automorphism. We prove that their embeddings have the<br \/>\nAmalgamation Property, and deduce that the existentially closed ones, despite not<br \/>\nforming an elementary class, are NIP when studied in the framework of positive logic.<br \/>\nThe talk will feature an introduction to positive logic, an exposition of the results on<br \/>\nautomorphisms of ordered abelian groups and, if time permits, I will also talk about<br \/>\nwork in progress of myself, Jan Dobrowolski and Francesco Gallinaro, about extending<br \/>\nthese techniques to the study of existentially closed valued fields of residue<br \/>\ncharacteristic 0 with an automorphism.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"author":1,"featured_media":-1,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"tags":[],"event_type":[],"event_type_2":[],"class_list":["post-4567","ajde_events","type-ajde_events","status-publish","has-post-thumbnail","hentry","event_location-sala-professori-al-i-livello-del-dipartimento-di-matematica-ed-applicazioni-renato-caccioppoli"],"_links":{"self":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/4567","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events"}],"about":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/types\/ajde_events"}],"author":[{"embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4567"}],"version-history":[{"count":0,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=\/wp\/v2\/ajde_events\/4567\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4567"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4567"},{"taxonomy":"event_type","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fevent_type&post=4567"},{"taxonomy":"event_type_2","embeddable":true,"href":"https:\/\/www.matematica.unina.it\/index.php?rest_route=%2Fwp%2Fv2%2Fevent_type_2&post=4567"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}