\uc790\uc138\ud55c \uc0ac\ud56d\uc740 \ucd5c\ub3c4\ud6c8 \uad50\uc218\ub2d8\uaed8 \ubb38\uc758\ubc14\ub78d\ub2c8\ub2e4
\nhttps:\/\/sites.google.com\/view\/kutraceformula1<\/p>\n
\uc81c\ubaa9: Lecture series on Selberg trace formula for SL_2(R)
\n\uc7a5\uc18c: \uace0\ub824\ub300\ud559\uad50 \uc544\uc0b0\uc774\ud559\uad00 526\ud638
\n\uc5f0\uc0ac: \uc774\ubbfc Min Lee (University of Bristol)<\/p>\n
\uc77c\uc815:
\n8\uc6d4 20\uc77c 4\uc2dc – 5\uc2dc 15\ubd84(\uac15\uc5f0 1)
\n8\uc6d4 21\uc77c 4\uc2dc – 5\uc2dc 15\ubd84(\uac15\uc5f0 2)
\n8\uc6d4 22\uc77c 10\uc2dc 30\ubd84 – 11\uc2dc 45\ubd84(\uac15\uc5f0 3), 1\uc2dc 30\ubd84 – 2\uc2dc 45\ubd84(\uac15\uc5f0 4)
\n8\uc6d4 23\uc77c 10\uc2dc 30\ubd84 – 11\uc2dc 45\ubd84(\uac15\uc5f0 5), 1\uc2dc 30\ubd84 – 2\uc2dc 45\ubd84(\uac15\uc5f0 6)<\/p>\n
\ub0b4\uc6a9:
\nThe spectral theory of non-holomorphic automorphic forms began with H. Maass in the 1940s. A Maass form is a function on a hyperbolic surface which is also an eigenfunction of the Laplace-Beltrami operator. Although Maass discovered some examples by using Hecke L-functions, in general, the construction of explicit examples of Maass forms remains mysterious. Even the existence of such functions (except the examples discovered by Maass) was not clear. <\/p>\n
In 1956, A. Selberg introduced his famous trace formula, now called the Selberg trace formula, which relates the spectrum of the Laplace operator on a hyperbolic surface to its geometry. By using his trace formula, Selberg obtained Weyl’s law, which gives an asymptotic count for the number of Maass forms with Laplacian eigenvalues up to a given bound. <\/p>\n
Let \\mathbb{H} be the Poincar\\\u2019e upper half plane and \\Gamma be a congruence subgroup of $SL_2(\\mathbb{Z}). The aim of this short course is to develop Selberg’s trace formulas for \\Gamma \\backslash \\mathbb{H} and study their applications.<\/p>\n","protected":false},"excerpt":{"rendered":"
\uc790\uc138\ud55c \uc0ac\ud56d\uc740 \ucd5c\ub3c4\ud6c8 \uad50\uc218\ub2d8\uaed8 \ubb38\uc758\ubc14\ub78d\ub2c8\ub2e4 https:\/\/sites.google.com\/view\/kutraceformula1 \uc81c\ubaa9: Lecture series on Selberg trace formula for SL_2(R) \uc7a5\uc18c: \uace0\ub824\ub300\ud559\uad50 \uc544\uc0b0\uc774\ud559\uad00 526\ud638 \uc5f0\uc0ac: \uc774\ubbfc Min Lee (University of Bristol) \uc77c\uc815: 8\uc6d4 20\uc77c 4\uc2dc – 5\uc2dc 15\ubd84(\uac15\uc5f0 1) 8\uc6d4 21\uc77c 4\uc2dc – 5\uc2dc 15\ubd84(\uac15\uc5f0 2) 8\uc6d4 22\uc77c 10\uc2dc 30\ubd84 – 11\uc2dc 45\ubd84(\uac15\uc5f0 3), 1\uc2dc 30\ubd84 – 2\uc2dc 45\ubd84(\uac15\uc5f0 4) … \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-840","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\/840","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=840"}],"version-history":[{"count":2,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/840\/revisions"}],"predecessor-version":[{"id":842,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/840\/revisions\/842"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/media?parent=840"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/categories?post=840"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/tags?post=840"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}