{"id":1338,"date":"2024-09-12T11:15:26","date_gmt":"2024-09-12T09:15:26","guid":{"rendered":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/?p=1338"},"modified":"2025-03-11T09:30:20","modified_gmt":"2025-03-11T08:30:20","slug":"phd-course-introduction-to-kahler-geometry","status":"publish","type":"post","link":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/2024\/09\/12\/phd-course-introduction-to-kahler-geometry\/","title":{"rendered":"PhD Course: Introduction to K\u00e4hler Geometry"},"content":{"rendered":"<h1>Introduction to K\u00e4hler Geometry<\/h1>\n<p><strong><b class=\"moz-txt-star\">Prof. Roberto Mossa, Prof. Giovanni Placini<br \/>\n<\/b><\/strong>Universit\u00e0 degli Studi di Cagliari<\/p>\n<p><strong>Abstract<\/strong><\/p>\n<p>This introductory course covers some of the fundamental concepts of K\u00e4hler geometry, with particular attention to almost complex and complex manifolds, the properties of Hermitian metrics, and K\u00e4hler metrics. Starting from the basics of differential geometry, we will explore the structure of almost complex and complex manifolds. Subsequently, we will delve into the properties of Hermitian metrics, focusing on the definition and characteristics that define K\u00e4hler metrics, which play a key role in integrating the complex structure with the Riemannian one. Through concrete examples and applications, students will gain a deep understanding of these concepts, preparing them for advanced studies in K\u00e4hler geometry.<\/p>\n<p><strong>Schedule<\/strong><\/p>\n<p>The course consists of 32 hours divided into 16 lectures. This is the schedule of the lectures:<\/p>\n<ul>\n<li>Marted\u00ec 14 Gennaio 15-17 Aula III (Giovanni Placini)<\/li>\n<li>Gioved\u00ec 16 Gennaio 11-13 Aula III (Giovanni Placini)<\/li>\n<li>Marted\u00ec 21 Gennaio 11-13 Aula III (Giovanni Placini)<\/li>\n<li>Gioved\u00ec 23 Gennaio 11-13 Aula III (Giovanni Placini)<\/li>\n<li>Marted\u00ec 28 Gennaio 11-13 Aula III (Giovanni Placini)<\/li>\n<li>Gioved\u00ec 30 Gennaio 11-13 Aula III (Roberto Mossa)<\/li>\n<li>Marted\u00ec 4 Febbraio 11-13 Aula III (Roberto Mossa)<\/li>\n<li>Gioved\u00ec 6 Febbraio 11-13 Aula III (Roberto Mossa)<\/li>\n<li>Marted\u00ec 11 Febbraio 11-13 Aula III (Roberto Mossa)<\/li>\n<li>Gioved\u00ec 13 Febbraio 11-13 Aula III (Roberto Mossa)<\/li>\n<li>Luned\u00ec 17 Febbraio 11-13 Aula III (Roberto Mossa)<\/li>\n<li>Gioved\u00ec 20 marzo 11-13 Aula F (Roberto Mossa)<\/li>\n<li>Gioved\u00ec 27 marzo 11-13 Aula F (Roberto Mossa)<\/li>\n<li>Gioved\u00ec 3 aprile 11-13 Aula F (Giovanni Placini)<\/li>\n<li>Marted\u00ec 8 aprile 11-13 Aula F (Giovanni Placini)<\/li>\n<li>Gioved\u00ec 10 aprile 11-13 Aula F (Giovanni Placini)<\/li>\n<\/ul>\n<p><strong>Exam<\/strong><\/p>\n<p>The final exam consists in a seminar on a topic building on the content of the course. The topic for the final exam may be proposed by the students themselves or chosen from a list provided at the end of the lectures.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction to K\u00e4hler Geometry Prof. Roberto Mossa, Prof. Giovanni Placini Universit\u00e0 degli Studi di Cagliari Abstract This introductory course covers some of the fundamental concepts of K\u00e4hler geometry, with particular attention to almost complex and complex manifolds, the properties of Hermitian metrics, and K\u00e4hler metrics. Starting from the basics of differential geometry, we will explore the structure of almost complex and complex manifolds. Subsequently, we will delve into the properties of Hermitian metrics, focusing on the definition and characteristics that define K\u00e4hler metrics, which play a key role in integrating the complex structure with the Riemannian one. Through concrete examples <a href='https:\/\/dottorati.unica.it\/matematicaeinformatica\/2024\/09\/12\/phd-course-introduction-to-kahler-geometry\/' class='excerpt-more'>[&#8230;]<\/a><\/p>\n","protected":false},"author":244,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,11,10],"tags":[],"class_list":["post-1338","post","type-post","status-publish","format-standard","hentry","category-dipartimento-matematica-informatica","category-dottorato-matematica-informatica","category-events","category-9-id","category-11-id","category-10-id","post-seq-1","post-parity-odd","meta-position-corners","fix"],"_links":{"self":[{"href":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/wp-json\/wp\/v2\/posts\/1338","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/wp-json\/wp\/v2\/users\/244"}],"replies":[{"embeddable":true,"href":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/wp-json\/wp\/v2\/comments?post=1338"}],"version-history":[{"count":4,"href":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/wp-json\/wp\/v2\/posts\/1338\/revisions"}],"predecessor-version":[{"id":1400,"href":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/wp-json\/wp\/v2\/posts\/1338\/revisions\/1400"}],"wp:attachment":[{"href":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/wp-json\/wp\/v2\/media?parent=1338"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/wp-json\/wp\/v2\/categories?post=1338"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dottorati.unica.it\/matematicaeinformatica\/wp-json\/wp\/v2\/tags?post=1338"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}