{"id":1869,"date":"2020-12-18T09:20:40","date_gmt":"2020-12-18T07:20:40","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1869"},"modified":"2020-12-24T13:47:14","modified_gmt":"2020-12-24T11:47:14","slug":"u-of-haifa-algebra-seminar-december-24-2020","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1869","title":{"rendered":"U. of Haifa Algebra seminar, December 24, 2020"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Algebra Seminar<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Speaker: Amritanshu Prasad (The Institute of Mathematical Sciences, Chennai)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Topic: Schur Algebras for the Alternating Group and Koszul Duality<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Place: This is an online seminar. Please email Yuval Ginosar &#8220;ginosar at math dot haifa dot ac dot il&#8221; for the Zoom ID and password.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Date: Thursday, December 24, 2020<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Time: 12:00<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Abstract: The commutant of the symmetric group on $d$-fold tensor space is a Schur algebra. These actions give rise to Schur-Weyl duality, which relates representations of the symmetric group $S_d$ to some homogeneous degree $d$ polynomial representations of general linear groups. On the category of representations of $S_d$, tensoring with the sign character is a very natural endofunctor. What does this correspond to for polynomial representations of $GL(n)$? The answer turns out to be related to the commutant of the alternating group in tensor space, which we call the alternating Schur algebra.                                               <\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Algebra Seminar Speaker: Amritanshu Prasad (The Institute of Mathematical Sciences, Chennai) Topic: Schur Algebras for the Alternating Group and Koszul Duality Place: This is an online seminar. Please email Yuval Ginosar &#8220;ginosar at math dot haifa dot ac dot il&#8221;&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=1869\">Read more<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5,4],"tags":[],"class_list":["post-1869","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\/1869","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\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1869"}],"version-history":[{"count":4,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1869\/revisions"}],"predecessor-version":[{"id":1885,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1869\/revisions\/1885"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1869"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1869"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1869"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}