{"id":1284,"date":"2022-05-21T09:00:15","date_gmt":"2022-05-21T00:00:15","guid":{"rendered":"https:\/\/mathematicians.korea.ac.kr\/sk23\/?p=1284"},"modified":"2022-06-21T09:09:09","modified_gmt":"2022-06-21T00:09:09","slug":"%ed%8a%b9%ea%b0%95-arithmetic-of-character-variety-of-reductive-groups","status":"publish","type":"post","link":"https:\/\/mathematicians.korea.ac.kr\/sk23\/2022\/05\/21\/%ed%8a%b9%ea%b0%95-arithmetic-of-character-variety-of-reductive-groups\/","title":{"rendered":"[\ud2b9\uac15] Arithmetic of character variety of reductive groups"},"content":{"rendered":"<p>1. \uc77c\uc2dc : 2022\ub144 5\uc6d4 27\uc77c (\uae08) 15:30-16:30<br \/>\n2. \uc7a5\uc18c : Zoom\uc744 \uc774\uc6a9\ud55c \uc2e4\uc2dc\uac04 \uc628\ub77c\uc778 \uac15\uc5f0<br \/>\n3. \uc5f0\uc0ac : \ub0a8\uacbd\ud604 (\ud638\uc8fc \ud038\uc990\ub79c\ub4dc\ub300\ud559\uad50 \ubc15\uc0ac\uacfc\uc815)<br \/>\n4. \uc81c\ubaa9 : Arithmetic of character variety of reductive groups<\/p>\n<p>5. \ucd08\ub85d : Counting the number of points on a variety is a historical method for investigating the variety, for example, in the Weil conjecture. Nowadays, it is known that the point count helps us determine the E-polynomial. This E-polynomial, in turn, gives arithmetic-geometric information on the variety such as the dimension, the number of irreducible components and Euler characteristic.<\/p>\n<p>In this talk, we will consider a specific type of variety, the character variety associated to the fundamental group of a surface. In short, we will discuss this variety for a punctured surface, with regular semisimple or regular unipotent monodromy at the punctures.<\/p>\n<p>This variety plays a crucial role in diverse areas of mathematics, including non-abelian Hodge theory, geometric Langlands program and mathematical physics. The complex representation theory of finite groups will be used to compute the number of points on such a variety.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. \uc77c\uc2dc : 2022\ub144 5\uc6d4 27\uc77c (\uae08) 15:30-16:30 2. \uc7a5\uc18c : Zoom\uc744 \uc774\uc6a9\ud55c \uc2e4\uc2dc\uac04 \uc628\ub77c\uc778 \uac15\uc5f0 3. \uc5f0\uc0ac : \ub0a8\uacbd\ud604 (\ud638\uc8fc \ud038\uc990\ub79c\ub4dc\ub300\ud559\uad50 \ubc15\uc0ac\uacfc\uc815) 4. \uc81c\ubaa9 : Arithmetic of character variety of reductive groups 5. \ucd08\ub85d : Counting the number of points on a variety is a historical method for investigating the variety, for example, in &#8230; <a title=\"[\ud2b9\uac15] Arithmetic of character variety of reductive groups\" class=\"read-more\" href=\"https:\/\/mathematicians.korea.ac.kr\/sk23\/2022\/05\/21\/%ed%8a%b9%ea%b0%95-arithmetic-of-character-variety-of-reductive-groups\/\" aria-label=\"[\ud2b9\uac15] Arithmetic of character variety of reductive groups\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-1284","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\/1284","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=1284"}],"version-history":[{"count":3,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/1284\/revisions"}],"predecessor-version":[{"id":1295,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/1284\/revisions\/1295"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/media?parent=1284"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/categories?post=1284"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/tags?post=1284"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}