{"id":770,"date":"2019-04-08T10:19:39","date_gmt":"2019-04-08T01:19:39","guid":{"rendered":"http:\/\/mathematicians.korea.ac.kr\/sk23\/?p=770"},"modified":"2019-04-08T12:43:04","modified_gmt":"2019-04-08T03:43:04","slug":"can-one-hear-the-shape-of-a-drum","status":"publish","type":"post","link":"https:\/\/mathematicians.korea.ac.kr\/sk23\/2019\/04\/08\/can-one-hear-the-shape-of-a-drum\/","title":{"rendered":"Can one hear the shape of a drum?"},"content":{"rendered":"<p>\uace0\ub4f1\uacfc\ud559\uc6d0 \uc138\ubbf8\ub098\uc785\ub2c8\ub2e4. <\/p>\n<p>TIME: 17:10-18:10, April 08 (Mon), 2019<br \/>\nPLACE: KIAS 1423<br \/>\nSPEAKER: Plinio G. P. Murillo (KIAS)<br \/>\nTITLE: Can one hear the shape of a drum?<\/p>\n<p>ABSTRACT: Mathematically, a drum can be considered as a bounded region D in the Euclidean plane. The vibration of the drum can be modelled by the wave equation, and the vibrating frequencies are codified by the eigenvalues of the Laplacian operator on D. In 1966, Marc Kac popularized the question which has the title of this talk, and which translates to ask whether the eigenvalues of the Laplacian determine the geometry of D. In this occasion, we will talk about the history of the problem, and how its developments have touched different areas of mathematics such as Analysis, Geometry and Number Theory.<br \/>\nThis talk will serve as a prelude to the workshop \u201cHyperbolic Geometry, Spectral Geometry and related topics\u201d to be held at KIAS from April 15th to 19th.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uace0\ub4f1\uacfc\ud559\uc6d0 \uc138\ubbf8\ub098\uc785\ub2c8\ub2e4. TIME: 17:10-18:10, April 08 (Mon), 2019 PLACE: KIAS 1423 SPEAKER: Plinio G. P. Murillo (KIAS) TITLE: Can one hear the shape of a drum? ABSTRACT: Mathematically, a drum can be considered as a bounded region D in the Euclidean plane. The vibration of the drum can be modelled by the wave equation, and &#8230; <a title=\"Can one hear the shape of a drum?\" class=\"read-more\" href=\"https:\/\/mathematicians.korea.ac.kr\/sk23\/2019\/04\/08\/can-one-hear-the-shape-of-a-drum\/\" aria-label=\"Can one hear the shape of a drum?\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-770","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\/770","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=770"}],"version-history":[{"count":2,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/770\/revisions"}],"predecessor-version":[{"id":778,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/770\/revisions\/778"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/media?parent=770"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/categories?post=770"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/tags?post=770"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}