\ubc1c\ud45c\uc790 : Dr. Josh Southerland<\/p>\n\n\n\n
\uc77c\uc2dc : 5\uc6d4 11\uc77c (\ubaa9) \uc624\ud6c4 4\uc2dc ~
\uc7a5\uc18c: \uace0\ub824\ub300\ud559\uad50 \uc544\uc0b0\uc774\ud559\uad00 524\ud638 (\ub610\ub294 526\ud638)<\/p>\n\n\n\n
\uc81c\ubaa9 : \ubc1c\ud45c\uc790 : Dr. Josh Southerland \uc77c\uc2dc : 5\uc6d4 11\uc77c (\ubaa9) \uc624\ud6c4 4\uc2dc ~ \uc7a5\uc18c: \uace0\ub824\ub300\ud559\uad50 \uc544\uc0b0\uc774\ud559\uad00 524\ud638 (\ub610\ub294 526\ud638) \uc81c\ubaa9 : Shrinking targets on translation surfaces \ubc1c\ud45c \uac1c\uc694:\u00a0In this talk, we will study a shrinking target problem for translation surfaces. We will show that the action of a subgroup of the Veech group of a […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ngg_post_thumbnail":0,"footnotes":""},"categories":[113],"tags":[],"class_list":["post-2248","post","type-post","status-publish","format-standard","hentry","category-113"],"distributor_meta":false,"distributor_terms":false,"distributor_media":false,"distributor_original_site_name":"\uc591\uc131\ub355","distributor_original_site_url":"https:\/\/mathematicians.korea.ac.kr\/sdyang","push-errors":false,"_links":{"self":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-json\/wp\/v2\/posts\/2248","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-json\/wp\/v2\/comments?post=2248"}],"version-history":[{"count":1,"href":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-json\/wp\/v2\/posts\/2248\/revisions"}],"predecessor-version":[{"id":2250,"href":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-json\/wp\/v2\/posts\/2248\/revisions\/2250"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-json\/wp\/v2\/media?parent=2248"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-json\/wp\/v2\/categories?post=2248"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-json\/wp\/v2\/tags?post=2248"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Shrinking targets on translation surfaces<\/strong>
\ubc1c\ud45c \uac1c\uc694:\u00a0<\/strong>
In this talk, we will study a shrinking target problem for translation surfaces. We will show that the action of a subgroup of the Veech group of a square-tiled surface, a branched cover over the square torus, exhibits Diophantine properties. This generalizes the work of Finkelshtein, who studied a similar problem on the flat torus. We will also discuss ongoing work (joint with C. Judge) to develop a method for proving a shrinking target property for all translation surfaces, beginning with current progress on lattice surfaces via the use of an induced $SL_2\\R$-action on a homogeneous bundle.\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"