{"id":9286,"date":"2023-06-11T09:31:04","date_gmt":"2023-06-11T07:31:04","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=9286"},"modified":"2023-06-11T09:31:07","modified_gmt":"2023-06-11T07:31:07","slug":"real-algebraic-geometry-over-%e2%84%9a","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/real-algebraic-geometry-over-%e2%84%9a\/","title":{"rendered":"(Real) Algebraic Geometry over \u211a &ndash; Enrico Savi (Universit\u00e0 di Trento)"},"content":{"rendered":"\n<p>In this seminar I will present some notions of algebraic geometry over subfields introduced and studied in depth in a recent work by Fernando and Ghiloni. I will give an idea of why the most interesting cases to study are those in which the ground field is a real closed field, such as \u211d, and the subfield is not real closed, such as \u211a. We will introduce several notions of real algebraic sets to be `described over \u211a&#8217; and explain some characterizations via Galois theory proved by Fernando-Ghiloni and Ghiloni and the speaker. Time permitting, I will give an insight into which class of algebraic sets `described over \u211a&#8217; is adequate for solving the \u211a<em>-algebrization problem\u00a0<\/em>by means of algebraic approximation techniques.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this seminar I will present some notions of algebraic geometry over subfields introduced and studied in depth in a&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/real-algebraic-geometry-over-%e2%84%9a\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":19,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-9286","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1686580200,"unipievents_enddate":1686583800,"unipievents_place":"Aula Seminari - Dipartimento di 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\/9286","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\/19"}],"version-history":[{"count":2,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/9286\/revisions"}],"predecessor-version":[{"id":9288,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/9286\/revisions\/9288"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=9286"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=9286"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=9286"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}