{"id":21327,"date":"2024-02-21T21:17:28","date_gmt":"2024-02-21T18:17:28","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=21327"},"modified":"2024-02-25T22:54:20","modified_gmt":"2024-02-25T19:54:20","slug":"math-seminar-on-some-invariants-of-the-tangent-cones-of-numerical-semigroup-rings-pinar-mete-340pm-february-23-2024-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-on-some-invariants-of-the-tangent-cones-of-numerical-semigroup-rings-pinar-mete-340pm-february-23-2024-en\/","title":{"rendered":"MATH Seminar: \u201cOn Some Invariants of the Tangent Cones of Numerical Semigroup Rings\u201d, P\u0131nar Mete, 3:40PM February 23 2024 (EN)"},"content":{"rendered":"<p>You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.<\/p>\n<p>Speaker: P\u0131nar Mete (Bal\u0131kesir)<\/p>\n<p>\u201cOn some invariants of the tangent cones of numerical semigroup rings\u201d<\/p>\n<p>Abstract: The minimal free resolution is a very useful tool for extracting information about modules. Many important numerical invariants of a module such as Hilbert function and Betti numbers can be deduced from its minimal free resolution. Stamate gave a broad survey on these topics when the modules are the semigroup ring or its tangent cone for a numerical semigroup S. He also stated the problem of describing the Betti numbers and the minimal free resolution for the tangent cone when S is 4-generated semigroup which is symmetric. In this talk, I will first give some of our results, based on a joint work with E.E. Zengin on the problem. Then, I will talk about our ongoing study which is an application of the Apery table of the numerical semigroup to determine some properties of its tangent cone.<\/p>\n<p>DI. STAMATE, Betti numbers for numerical semigroup rings. Multigraded Algebra and Applications, 238, 133-157, Springer Proceedings in Mathematics and Statistics, Springer, Cham 2018.<\/p>\n<p>Date: 23 February 2024, Friday<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\u00a0<a href=\"mailto:sertoz@bilkent.edu.tr\">sertoz@bilkent.edu.tr<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar. Speaker: P\u0131nar Mete (Bal\u0131kesir) \u201cOn some invariants of the tangent cones of numerical semigroup rings\u201d Abstract: The minimal free resolution is a very useful tool for extracting information about modules. Many important numerical invariants of a module such as Hilbert [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-on-some-invariants-of-the-tangent-cones-of-numerical-semigroup-rings-pinar-mete-340pm-february-23-2024-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-21327","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/21327","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=21327"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/21327\/revisions"}],"predecessor-version":[{"id":21328,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/21327\/revisions\/21328"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=21327"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=21327"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=21327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}