{"id":18890,"date":"2023-02-12T06:58:51","date_gmt":"2023-02-12T03:58:51","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=18890"},"modified":"2023-03-04T01:35:50","modified_gmt":"2023-03-03T22:35:50","slug":"math-seminar-sixfolds-of-generalized-kummer-type-and-k3-surfaces-salvatore-floccani-340pm-march-3-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-sixfolds-of-generalized-kummer-type-and-k3-surfaces-salvatore-floccani-340pm-march-3-en\/","title":{"rendered":"MATH Seminar: \u201cSixfolds of generalized Kummer type and K3 surfaces\u201d, Salvatore Floccani, 3:40PM March 3 (EN)"},"content":{"rendered":"<p>You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar<\/p>\n<p>Speaker: Salvatore Floccani (Hannover)<\/p>\n<p>\u201cSixfolds of generalized Kummer type and K3 surfaces\u201d<\/p>\n<p>Abstract: The classical Kummer construction associates a K3 surface to any 2-dimensional complex torus. In my talk I will present an analogue of this construction, which involves the two most well-studied deformation types of hyper-K\u00e4hler manifolds in dimension 6. Namely, starting from any hyper-K\u00e4hler sixfold K of generalized Kummer type, I am able to construct geometrically a hyper-K\u00e4hler manifold of K3[3]-type. When K is projective, the associated variety is birational to a moduli space of sheaves on a uniquely determined K3 surface. As application of this construction I will show that the Kuga-Satake correspondence is algebraic for many K3 surfaces of Picard rank 16.<\/p>\n<p>Date: Friday, 3 March 2023<br \/>\nTime: 15:40 (GMT+3)<br \/>\nPlace: Zoom<\/p>\n<p>This is an online seminar. To request the event link, please send a message to sertoz@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"<p>You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar Speaker: Salvatore Floccani (Hannover) \u201cSixfolds of generalized Kummer type and K3 surfaces\u201d Abstract: The classical Kummer construction associates a K3 surface to any 2-dimensional complex torus. In my talk I will present an analogue of this construction, which involves the [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-sixfolds-of-generalized-kummer-type-and-k3-surfaces-salvatore-floccani-340pm-march-3-en\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-18890","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/18890","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=18890"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/18890\/revisions"}],"predecessor-version":[{"id":18891,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/18890\/revisions\/18891"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=18890"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=18890"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=18890"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}