{"id":1504,"date":"2018-03-16T14:52:06","date_gmt":"2018-03-16T18:52:06","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/boyland\/?page_id=1504"},"modified":"2026-03-19T08:10:27","modified_gmt":"2026-03-19T12:10:27","slug":"vidit-nanda","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/boyland\/vidit-nanda\/","title":{"rendered":"Vidit Nanda"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h2 class=\"wp-block-heading\"><span style=\"font-size: small\">Reconstructing simplicial group actions.<br>\n<\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Abstract: Several simplicial complexes which are important from a combinatorics, geometry or representation theory have enormous symmetry groups. Associated to the action of a group G on a simplicial complex X, one has the (typically much smaller and simpler) quotient space X\/G. This quotient does not, by itself, carry enough structure to reconstruct either X or the G-action. The purpose of this talk is to describe what additional algebraic data is needed in order to perform such a reconstruction. We will decorate the simplices of X\/G with subgroups of G in a coherent manner to obtain a &#8220;simplicial complex of subgroups of G&#8221;. Knowledge of these overlaid subgroups, and how they embed in G relative to one another, provides precise algorithmic instructions for how to unfold X\/G so that X and the G-action are correctly recovered.<\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":146,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-1504","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/1504","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/users\/146"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/comments?post=1504"}],"version-history":[{"count":2,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/1504\/revisions"}],"predecessor-version":[{"id":3957,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/1504\/revisions\/3957"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/media?parent=1504"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}