{"id":19508,"date":"2022-09-27T11:31:49","date_gmt":"2022-09-27T16:31:49","guid":{"rendered":"https:\/\/uwm.edu\/letters-science\/?post_type=tribe_events&#038;p=19508"},"modified":"2022-09-27T11:31:49","modified_gmt":"2022-09-27T16:31:49","slug":"math-colloquium-ehrhart-theory-and-partial-permutohedra","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-ehrhart-theory-and-partial-permutohedra\/","title":{"rendered":"Math Colloquium: Ehrhart Theory and Partial Permutohedra"},"content":{"rendered":"<p>Presented by Dr. Erik Insko, Professor of Mathematics, Iowa State University.<\/p>\n<p>In this talk, I will give a brief introduction to Ehrhart polynomials, which count the number of lattice points in a convex lattice polytope and also describe the polytope&#8217;s volume. Then I will define the partial permutohedron $P(m,n)$ and share how a simple sculpting idea has led to several new results and conjectures involving the volume and Ehrhart polynomial of the partial permutohedron $P(m,n)$ first defined and studied by Heuer and Striker in 2020. One goal of this talk is to be interesting and accessible to undergraduate and graduate students as well as faculty.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Presented by Dr. Erik Insko, Professor of Mathematics, Iowa State University. In this talk, I will give a brief introduction to Ehrhart polynomials, which count the number of lattice points in a convex lattice polytope and also describe the polytope&#8217;s &hellip;<\/p>\n","protected":false},"author":6745,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","uwm_wg_additional_authors":[]},"tags":[],"tribe_events_cat":[428,418],"class_list":["post-19508","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-lectures-conferences-and-symposiums","tribe_events_cat-uwm-campus-events","cat_lectures-conferences-and-symposiums","cat_uwm-campus-events"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.7 (Yoast SEO v27.7) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Letters &amp; Science<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-ehrhart-theory-and-partial-permutohedra\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math Colloquium: Ehrhart Theory and Partial Permutohedra\" \/>\n<meta property=\"og:description\" content=\"Presented by Dr. Erik Insko, Professor of Mathematics, Iowa State University. In this talk, I will give a brief introduction to Ehrhart polynomials, which count the number of lattice points in a convex lattice polytope and also describe the polytope&#8217;s &hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-ehrhart-theory-and-partial-permutohedra\/\" \/>\n<meta property=\"og:site_name\" content=\"Letters &amp; Science\" \/>\n<meta property=\"og:image\" content=\"https:\/\/uwm.edu\/letters-science\/wp-content\/uploads\/sites\/255\/2022\/09\/Math.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"900\" \/>\n\t<meta property=\"og:image:height\" content=\"600\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/event\\\/math-colloquium-ehrhart-theory-and-partial-permutohedra\\\/\",\"url\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/event\\\/math-colloquium-ehrhart-theory-and-partial-permutohedra\\\/\",\"name\":\"Math Colloquium: Ehrhart Theory and Partial Permutohedra - Letters &amp; Science\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/#website\"},\"datePublished\":\"2022-09-27T16:31:49+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/event\\\/math-colloquium-ehrhart-theory-and-partial-permutohedra\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/event\\\/math-colloquium-ehrhart-theory-and-partial-permutohedra\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/event\\\/math-colloquium-ehrhart-theory-and-partial-permutohedra\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Events\",\"item\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/events\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Math Colloquium: Ehrhart Theory and Partial Permutohedra\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/#website\",\"url\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/\",\"name\":\"Letters &amp; Science\",\"description\":\"College of\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Letters &amp; Science","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-ehrhart-theory-and-partial-permutohedra\/","og_locale":"en_US","og_type":"article","og_title":"Math Colloquium: Ehrhart Theory and Partial Permutohedra","og_description":"Presented by Dr. Erik Insko, Professor of Mathematics, Iowa State University. In this talk, I will give a brief introduction to Ehrhart polynomials, which count the number of lattice points in a convex lattice polytope and also describe the polytope&#8217;s &hellip;","og_url":"https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-ehrhart-theory-and-partial-permutohedra\/","og_site_name":"Letters &amp; Science","og_image":[{"width":900,"height":600,"url":"https:\/\/uwm.edu\/letters-science\/wp-content\/uploads\/sites\/255\/2022\/09\/Math.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-ehrhart-theory-and-partial-permutohedra\/","url":"https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-ehrhart-theory-and-partial-permutohedra\/","name":"Math Colloquium: Ehrhart Theory and Partial Permutohedra - Letters &amp; Science","isPartOf":{"@id":"https:\/\/uwm.edu\/letters-science\/#website"},"datePublished":"2022-09-27T16:31:49+00:00","breadcrumb":{"@id":"https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-ehrhart-theory-and-partial-permutohedra\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-ehrhart-theory-and-partial-permutohedra\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-ehrhart-theory-and-partial-permutohedra\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/uwm.edu\/letters-science\/"},{"@type":"ListItem","position":2,"name":"Events","item":"https:\/\/uwm.edu\/letters-science\/events\/"},{"@type":"ListItem","position":3,"name":"Math Colloquium: Ehrhart Theory and Partial Permutohedra"}]},{"@type":"WebSite","@id":"https:\/\/uwm.edu\/letters-science\/#website","url":"https:\/\/uwm.edu\/letters-science\/","name":"Letters &amp; Science","description":"College of","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/uwm.edu\/letters-science\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"acf":[],"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/uwm.edu\/letters-science\/wp-json\/wp\/v2\/tribe_events\/19508","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/uwm.edu\/letters-science\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/uwm.edu\/letters-science\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/uwm.edu\/letters-science\/wp-json\/wp\/v2\/users\/6745"}],"version-history":[{"count":1,"href":"https:\/\/uwm.edu\/letters-science\/wp-json\/wp\/v2\/tribe_events\/19508\/revisions"}],"predecessor-version":[{"id":19509,"href":"https:\/\/uwm.edu\/letters-science\/wp-json\/wp\/v2\/tribe_events\/19508\/revisions\/19509"}],"wp:attachment":[{"href":"https:\/\/uwm.edu\/letters-science\/wp-json\/wp\/v2\/media?parent=19508"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/uwm.edu\/letters-science\/wp-json\/wp\/v2\/tags?post=19508"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/uwm.edu\/letters-science\/wp-json\/wp\/v2\/tribe_events_cat?post=19508"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}