{"id":21773,"date":"2023-01-24T23:46:15","date_gmt":"2023-01-25T05:46:15","guid":{"rendered":"https:\/\/uwm.edu\/letters-science\/?post_type=tribe_events&#038;p=21773"},"modified":"2023-01-24T23:46:15","modified_gmt":"2023-01-25T05:46:15","slug":"math-colloquium-random-nilpotent-groups","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-random-nilpotent-groups\/","title":{"rendered":"Math Colloquium: Random nilpotent groups"},"content":{"rendered":"<p>In group theory, any group can be defined by specifying generators and relations. But for infinite groups, when trying to define a model for a generic\/random group, there are many options for how to vary these generators and relations. We will give an overview of one of the most popular models: Gromov\u2019s density model and then present one of our own for torsion free nilpotent groups that is based on upper triangular matrices.<\/p>\n<p>Presented by Tullia Dymarz, Associate Professor of Mathematics, University of Wisconsin &#8211; Madison. Refreshments to follow.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In group theory, any group can be defined by specifying generators and relations. But for infinite groups, when trying to define a model for a generic\/random group, there are many options for how to vary these generators and relations. We &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-21773","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-random-nilpotent-groups\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math Colloquium: Random nilpotent groups\" \/>\n<meta property=\"og:description\" content=\"In group theory, any group can be defined by specifying generators and relations. But for infinite groups, when trying to define a model for a generic\/random group, there are many options for how to vary these generators and relations. We &hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/uwm.edu\/letters-science\/event\/math-colloquium-random-nilpotent-groups\/\" \/>\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-random-nilpotent-groups\\\/\",\"url\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/event\\\/math-colloquium-random-nilpotent-groups\\\/\",\"name\":\"Math Colloquium: Random nilpotent groups - Letters &amp; Science\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/#website\"},\"datePublished\":\"2023-01-25T05:46:15+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/event\\\/math-colloquium-random-nilpotent-groups\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/event\\\/math-colloquium-random-nilpotent-groups\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/letters-science\\\/event\\\/math-colloquium-random-nilpotent-groups\\\/#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: Random nilpotent groups\"}]},{\"@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-random-nilpotent-groups\/","og_locale":"en_US","og_type":"article","og_title":"Math Colloquium: Random nilpotent groups","og_description":"In group theory, any group can be defined by specifying generators and relations. 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