\uc81c\ubaa9: An IMO problem, Coxeter groups and fusion rings
\n\uc5f0\uc0ac: \uc774\ucca0\ud76c (KIAS)
\n\uc77c\uc2dc: 2018\ub144 4\uc6d4 19\uc77c \ubaa9\uc694\uc77c 13-14pm, 14:30-15:30pm.<\/p>\n
\ucd08\ub85d: Problem 3 of the International Mathematical Olympiad in 1986 is as follows: To each vertex of a regular pentagon an integer is assigned in such a way that the sum of all five numbers is positive. If three consecutive vertices are assigned the numbers x, y, z respectively and y<0 then the following operation is allowed: the numbers x, y, z are replaced by x+y, -y, z+y respectively. Such an operation is performed repeatedly as long as at least one of the five numbers is negative. Determine whether this procedure necessarily comes to an end after a finite number of steps.
\nI will explain this algorithm using the Coxeter groups and how to use it for computations with the affine fusion rings that arise from conformal field theory<\/p>\n
* \uc218\ud559\uacfc \ub300\uc218\ud559 \uc138\ubbf8\ub098\uc785\ub2c8\ub2e4. \ucd5c\ub3c4\ud6c8 \uad50\uc218\ub2d8\uaed8\uc11c \uc8fc\uad00\ud558\uc2ed\ub2c8\ub2e4.
\nhttps:\/\/sites.google.com\/site\/kualgebra\/<\/p>\n","protected":false},"excerpt":{"rendered":"
\uc81c\ubaa9: An IMO problem, Coxeter groups and fusion rings \uc5f0\uc0ac: \uc774\ucca0\ud76c (KIAS) \uc77c\uc2dc: 2018\ub144 4\uc6d4 19\uc77c \ubaa9\uc694\uc77c 13-14pm, 14:30-15:30pm. \ucd08\ub85d: Problem 3 of the International Mathematical Olympiad in 1986 is as follows: To each vertex of a regular pentagon an integer is assigned in such a way that the sum of all five numbers is … \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-310","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\/310","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=310"}],"version-history":[{"count":12,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/310\/revisions"}],"predecessor-version":[{"id":336,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/310\/revisions\/336"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/media?parent=310"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/categories?post=310"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/tags?post=310"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}