{"id":2243,"date":"2021-12-16T16:27:38","date_gmt":"2021-12-16T14:27:38","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2243"},"modified":"2021-12-30T12:18:19","modified_gmt":"2021-12-30T10:18:19","slug":"colloquium-tuesday-december-21-2021-speaker-liran-shaul-charles-university-title-the-cohen-macaulay-property-its-applications","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2243","title":{"rendered":"Colloquium: Tuesday, December 21, 2021. Speaker: Liran Shaul (Charles University). Title: &#8220;The Cohen-Macaulay property, its applications&#8221;."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Dear all,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The next colloquium for this semester will be held <strong>ONLINE<\/strong> on <strong>21.12.2021<\/strong> at <strong>14:00<\/strong> (<strong>Tuesday<\/strong>).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Zoom link: <\/strong><a href=\"https:\/\/us02web.zoom.us\/j\/82797905845?pwd=VUxHdkwyRzZIOHdDWkF2OC92U0p6UT09\">https:\/\/us02web.zoom.us\/j\/82797905845?pwd=VUxHdkwyRzZIOHdDWkF2OC92U0p6UT09<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Speaker: Liran Shaul (Charles University)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Date: <strong>Tuesday, December 21, 2021<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Time: <strong>14:00<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Title: The Cohen-Macaulay property, its applications and generalizations<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Abstract: In classical linear algebra, the maximal number of independent linear equations we can impose on R^n is equal to the dimension n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Generalizing this simple fact to commutative algebra and algebraic geometry leads to the notions of Cohen-Macaulay rings and Cohen-Macaulay varieties.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In this talk we explain this notion, discuss its algebraic and geometric meaning, and demonstrate its various applications in algebra, geometry and combinatorics.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Finally, we discuss a recent generalization of this notion to derived algebra, and some of its applications.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dear all, The next colloquium for this semester will be held ONLINE on 21.12.2021 at 14:00 (Tuesday). Zoom link: https:\/\/us02web.zoom.us\/j\/82797905845?pwd=VUxHdkwyRzZIOHdDWkF2OC92U0p6UT09 Speaker: Liran Shaul (Charles University) Date: Tuesday, December 21, 2021 Time: 14:00 Title: The Cohen-Macaulay property, its applications and generalizations&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2243\">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":[7],"tags":[],"class_list":["post-2243","post","type-post","status-publish","format-standard","hentry","category-colloquium"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2243","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2243"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2243\/revisions"}],"predecessor-version":[{"id":2244,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2243\/revisions\/2244"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2243"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2243"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2243"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}