{"id":2527,"date":"2022-12-15T11:52:38","date_gmt":"2022-12-15T09:52:38","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2527"},"modified":"2022-12-28T10:38:53","modified_gmt":"2022-12-28T08:38:53","slug":"u-haifa-algebra-seminar-wednesday-december-21-2022-speaker-evgeny-feigin-title-veronese-curves-arc-spaces-and-global-demazure-modules","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2527","title":{"rendered":"U. Haifa Algebra seminar: Wednesday,\u00a0December 21, 2022. Speaker: Evgeny Feigin. Title: &#8220;Veronese curves,\u00a0 arc spaces and global Demazure modules&#8221;."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Date:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Wednesday,&nbsp;December 21, 2022 at 12:00 PM&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Place:&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Room 614, Science &amp; Education Building, U. Haifa<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Speaker:&nbsp;Evgeny Feigin,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Title: Veronese curves,&nbsp; arc spaces and global Demazure modules.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Abstract:&nbsp; Arc spaces are obtained from a given finite-dimensional scheme by replacing the base field with&nbsp;the ring of series in one variable. We will start with the Veronese embeddings of the projective&nbsp;line. We will consider the coordinate ring of the corresponding reduced arc space and provide its description&nbsp;in terms of&nbsp;the global Demazure modules for the Lie algebra sl(2). We will then touch upon the generalization to the&nbsp;case of the embeddings of general flag varieties and to the case of certain toric varieties.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Date:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Wednesday,&nbsp;December 21, 2022 at 12:00 PM&nbsp; Place:&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Room 614, Science &amp; Education Building, U. Haifa Speaker:&nbsp;Evgeny Feigin, Title: Veronese curves,&nbsp; arc spaces and global Demazure modules. Abstract:&nbsp; Arc spaces are obtained from a given&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2527\">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":[5,4],"tags":[],"class_list":["post-2527","post","type-post","status-publish","format-standard","hentry","category-algebra-seminar","category-seminar"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2527","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=2527"}],"version-history":[{"count":2,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2527\/revisions"}],"predecessor-version":[{"id":2536,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2527\/revisions\/2536"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2527"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2527"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2527"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}