{"id":2956,"date":"2022-10-10T06:05:25","date_gmt":"2022-10-10T13:05:25","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=2956"},"modified":"2022-10-10T06:05:25","modified_gmt":"2022-10-10T13:05:25","slug":"quantum-metrics-on-the-natural-numbers-katrine-von-bornemann-hjelmborg-university-of-southern-denmark","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/quantum-metrics-on-the-natural-numbers-katrine-von-bornemann-hjelmborg-university-of-southern-denmark\/","title":{"rendered":"Quantum metrics on the natural numbers (Katrine von Bornemann Hjelmborg, University of Southern Denmark)"},"content":{"rendered":"<p>Quantum metrics in the sense of Rieffel were introduced to prove some statements arising in the high-energy physics literature. Since then, the area of quantum metric geometry has been used to answer questions stemming from within mathematics as well. To prove such results, it is often the case that certain properties of a quantum metric are sufficient enough, and explicit calculations of the quantum metric are rare. Thus, in this talk, we focus on certain quantum metrics introduced by Aguilar and Latr\u00e9moli\u00e8re on $c$, the space of complex-valued convergent sequences (which is isomorphic to the space of complex-valued continuous functions on the Alexandroff compactification of the natural numbers), and calculate exactly the metrics on the natural numbers that these quantum metrics induce. Moreover, we compare the quantum metrics of Aguilar and Latr\u00e9moli\u00e8re with a classical quantum metric on $c$ induced by the Lipschitz seminorm. (This is joint work with Konrad Aguilar).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Quantum metrics in the sense of Rieffel were introduced to prove some statements arising in the high-energy physics literature. Since then, the area of quantum metric geometry has been used [&hellip;]<\/p>\n","protected":false},"author":195,"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":""},"tags":[],"tribe_events_cat":[14],"class_list":["post-2956","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-analysis-seminar","cat_analysis-seminar"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Quantum metrics on the natural numbers (Katrine von Bornemann Hjelmborg, University of Southern Denmark) - Claremont Center for the Mathematical Sciences<\/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:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&p=2956\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quantum metrics on the natural numbers (Katrine von Bornemann Hjelmborg, University of Southern Denmark) - Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"og:description\" content=\"Quantum metrics in the sense of Rieffel were introduced to prove some statements arising in the high-energy physics literature. Since then, the area of quantum metric geometry has been used [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&amp;p=2956\" \/>\n<meta property=\"og:site_name\" content=\"Claremont Center for the Mathematical Sciences\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/?post_type=tribe_events&p=2956\",\"url\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/?post_type=tribe_events&p=2956\",\"name\":\"Quantum metrics on the natural numbers (Katrine von Bornemann Hjelmborg, University of Southern Denmark) - Claremont Center for the Mathematical Sciences\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/#website\"},\"datePublished\":\"2022-10-10T13:05:25+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/?post_type=tribe_events&p=2956#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/?post_type=tribe_events&p=2956\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/?post_type=tribe_events&p=2956#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Events\",\"item\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/events\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Quantum metrics on the natural numbers (Katrine von Bornemann Hjelmborg, University of Southern Denmark)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/#website\",\"url\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/\",\"name\":\"Claremont Center for the Mathematical Sciences\",\"description\":\"Proudly Serving the Math Community at the Claremont Colleges Since 2007\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/colleges.claremont.edu\\\/ccms\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Quantum metrics on the natural numbers (Katrine von Bornemann Hjelmborg, University of Southern Denmark) - Claremont Center for the Mathematical Sciences","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:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&p=2956","og_locale":"en_US","og_type":"article","og_title":"Quantum metrics on the natural numbers (Katrine von Bornemann Hjelmborg, University of Southern Denmark) - Claremont Center for the Mathematical Sciences","og_description":"Quantum metrics in the sense of Rieffel were introduced to prove some statements arising in the high-energy physics literature. 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