{"id":176,"date":"2020-03-22T04:44:48","date_gmt":"2020-03-22T04:44:48","guid":{"rendered":"https:\/\/petermc.net\/blog\/?p=176"},"modified":"2020-03-22T04:44:48","modified_gmt":"2020-03-22T04:44:48","slug":"singularities-of-schubert-varieties-within-a-right-cell","status":"publish","type":"post","link":"https:\/\/petermc.net\/blog\/2020\/03\/22\/singularities-of-schubert-varieties-within-a-right-cell\/","title":{"rendered":"Singularities of Schubert varieties within a right cell"},"content":{"rendered":"<p><a href=\"https:\/\/sites.google.com\/site\/martinalanini5\/home\">Martina Lanini<\/a> and I recently posted our preprint <a href=\"https:\/\/arxiv.org\/abs\/2003.08616\">Singularities of Schubert varieties within a right cell<\/a> to the arXiv. In it, we show that every singularity which appears in a type A Schubert variety appears between two permutations lying in the same right cell. This shows that any behaviour controlled by the singularities of Schubert varieties manifests itself within a Specht module. Some exmples are discussed.<\/p>\n<p>The work was conducted during our recent visit to the thematic trimester program on representation theory at the Institut Henri Poincar\u00e9 in Paris. I spent an enjoyable first month there before returning to Australia. Originally I was scheduled to be on a plane right now to return to Paris for the end of the program, but alas this is no longer possible. Oh well.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Martina Lanini and I recently posted our preprint Singularities of Schubert varieties within a right cell to the arXiv. In it, we show that every singularity which appears in a type A Schubert variety appears between two permutations lying in &hellip; <a href=\"https:\/\/petermc.net\/blog\/2020\/03\/22\/singularities-of-schubert-varieties-within-a-right-cell\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[6],"tags":[],"class_list":["post-176","post","type-post","status-publish","format-standard","hentry","category-maths"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":false,"jetpack_shortlink":"https:\/\/wp.me\/p7V6a7-2Q","_links":{"self":[{"href":"https:\/\/petermc.net\/blog\/wp-json\/wp\/v2\/posts\/176","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/petermc.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/petermc.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/petermc.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/petermc.net\/blog\/wp-json\/wp\/v2\/comments?post=176"}],"version-history":[{"count":1,"href":"https:\/\/petermc.net\/blog\/wp-json\/wp\/v2\/posts\/176\/revisions"}],"predecessor-version":[{"id":177,"href":"https:\/\/petermc.net\/blog\/wp-json\/wp\/v2\/posts\/176\/revisions\/177"}],"wp:attachment":[{"href":"https:\/\/petermc.net\/blog\/wp-json\/wp\/v2\/media?parent=176"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/petermc.net\/blog\/wp-json\/wp\/v2\/categories?post=176"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/petermc.net\/blog\/wp-json\/wp\/v2\/tags?post=176"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}