
{"id":1372,"date":"2022-11-18T13:40:35","date_gmt":"2022-11-18T04:40:35","guid":{"rendered":"https:\/\/mathematicians.korea.ac.kr\/sk23\/?p=1372"},"modified":"2022-11-17T11:51:39","modified_gmt":"2022-11-17T02:51:39","slug":"toric-varieties-in-the-flag-variety","status":"publish","type":"post","link":"https:\/\/mathematicians.korea.ac.kr\/sk23\/2022\/11\/18\/toric-varieties-in-the-flag-variety\/","title":{"rendered":"Toric varieties in the flag variety"},"content":{"rendered":"<p>\ud559\uacfc \uc815\uae30\ud2b9\uac15\uc785\ub2c8\ub2e4. <\/p>\n<p>1. \uc77c\uc2dc : 2022\ub144 11\uc6d4 11\uc77c (\uae08) 16:00-17:00<br \/>\n2. \uc7a5\uc18c : \uc544\uc0b0\uc774\ud559\uad00 526\ud638<br \/>\n3. \uc5f0\uc0ac : \uc774\uc740\uc815 \uad50\uc218 (\ucda9\ubd81\ub300\ud559\uad50 \uc218\ud559\uacfc)<br \/>\n4. \uc81c\ubaa9 : Toric varieties in the flag variety<\/p>\n<p>5. \ucd08\ub85d : Let $G$ be a simple Lie group and let $B$ be a Borel subgroup. The homogeneous space $G\/B$ becomes a smooth projective variety, called the flag variety. A maximal (complex) torus $T$ acts on the flag variety and this produces an interesting connection between geometry, combinatorics, and representation theory. In this talk, we study a family of the most interesting $T$-invariant subvarieties of the flag variety, called the Schubert varieties. We consider \\emph{toric} Schubert varieties (with respect to the action of $T$) and their isomorphism classes. This talk is based on joint work with Mikiya Masuda and Seonjeong Park.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\ud559\uacfc \uc815\uae30\ud2b9\uac15\uc785\ub2c8\ub2e4. 1. \uc77c\uc2dc : 2022\ub144 11\uc6d4 11\uc77c (\uae08) 16:00-17:00 2. \uc7a5\uc18c : \uc544\uc0b0\uc774\ud559\uad00 526\ud638 3. \uc5f0\uc0ac : \uc774\uc740\uc815 \uad50\uc218 (\ucda9\ubd81\ub300\ud559\uad50 \uc218\ud559\uacfc) 4. \uc81c\ubaa9 : Toric varieties in the flag variety 5. \ucd08\ub85d : Let $G$ be a simple Lie group and let $B$ be a Borel subgroup. The homogeneous space $G\/B$ becomes a smooth &#8230; <a title=\"Toric varieties in the flag variety\" class=\"read-more\" href=\"https:\/\/mathematicians.korea.ac.kr\/sk23\/2022\/11\/18\/toric-varieties-in-the-flag-variety\/\" aria-label=\"Toric varieties in the flag variety\uc5d0 \ub300\ud574 \ub354 \uc790\uc138\ud788 \uc54c\uc544\ubcf4\uc138\uc694\">\ub354 \uc77d\uae30<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1372","post","type-post","status-publish","format-standard","hentry","category-news-events"],"distributor_meta":false,"distributor_terms":false,"distributor_media":false,"distributor_original_site_name":"","distributor_original_site_url":"https:\/\/mathematicians.korea.ac.kr\/sk23","push-errors":false,"_links":{"self":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/1372","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/comments?post=1372"}],"version-history":[{"count":1,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/1372\/revisions"}],"predecessor-version":[{"id":1374,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/1372\/revisions\/1374"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/media?parent=1372"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/categories?post=1372"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/tags?post=1372"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}