{"id":606,"date":"2022-06-22T17:14:28","date_gmt":"2022-06-22T21:14:28","guid":{"rendered":"https:\/\/blogarchive.utc.edu\/campus-weekly\/?p=606"},"modified":"2022-06-30T10:01:33","modified_gmt":"2022-06-30T14:01:33","slug":"special-colloquium-lecture-series-part-2","status":"publish","type":"post","link":"https:\/\/blogarchive.utc.edu\/campus-weekly\/2022\/06\/special-colloquium-lecture-series-part-2\/","title":{"rendered":"Special Colloquium Lecture Series, Part 2"},"content":{"rendered":"\n<p>This summer, the Department of Mathematics is running an online Special Colloquium Lecture Series on mathematical analysis and applications in allied fields. This lecture series is presented in conjunction with UTC\u2019s <a href=\"https:\/\/sites.google.com\/mocs.utc.edu\/nsfutcreusite\/home\">NSF-funded Math REU Site<\/a>. The second lecture will be given next Wednesday, June 29th by Dr. Simion Filip, University of Chicago. I have included the details of Dr. Filip\u2019s lecture below. Undergraduate and graduate students who are interested in Analysis, Algebra, and Number Theory are especially encouraged to attend.<\/p>\n\n\n\n<p>Sincerely,<\/p>\n\n\n\n<p>Roger Nichols<\/p>\n\n\n\n<p><strong>Speaker:<\/strong> <a rel=\"noreferrer noopener\" href=\"https:\/\/www.google.com\/url?q=https%3A%2F%2Fmath.uchicago.edu%2F~sfilip%2F&amp;sa=D&amp;sntz=1&amp;usg=AOvVaw2iKZsLKA9AIgr3VFfGXqFz\" target=\"_blank\">Dr. Simion Filip<\/a> (<a rel=\"noreferrer noopener\" href=\"https:\/\/www.google.com\/url?q=https%3A%2F%2Fwww.uchicago.edu&amp;sa=D&amp;sntz=1&amp;usg=AOvVaw3e9MQGRWMmX_iswHP1V-6Y\" target=\"_blank\">University of Chicago<\/a>)<\/p>\n\n\n\n<p><strong>Date:<\/strong> Wednesday, June 29, 2022<\/p>\n\n\n\n<p><strong>Time:<\/strong> 1:00 p.m.-2:00 p.m. (EDT)<\/p>\n\n\n\n<p><strong>Zoom link:<\/strong> <a href=\"https:\/\/tennessee.zoom.us\/j\/92054334179\">https:\/\/tennessee.zoom.us\/j\/92054334179<\/a><\/p>\n\n\n\n<p><strong>Password:<\/strong> 907243<\/p>\n\n\n\n<p><strong>Title:<\/strong> Riemann\u2019s \u201cOther\u201d Function<\/p>\n\n\n\n<p><strong>Abstract:<\/strong> I will discuss a function introduced by Riemann (less famous than his zeta function) that he defined as $f(x) = \\sum sin(n^2x) \/ n^2$ and suggested to Weierstrass that it is not differentiable anywhere. It was a remarkably prescient construction, and while it turns out that Riemann\u2019s function is differentiable at some of the rational points, it also gives an example of a \u201cmultifractal\u201d function exhibiting rich behavior at different scales.<\/p>\n\n\n\n<p>I will explain what that means mathematically and provide the necessary background in Fourier analysis, discrete subgroups of Lie groups, dynamics on homogeneous spaces, and how all these notions are related to Riemann\u2019s function and shed light on its behavior.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This summer, the Department of Mathematics is running an online Special Colloquium Lecture Series on mathematical analysis and applications in allied fields. This lecture series is presented in conjunction with UTC\u2019s NSF-funded Math REU Site. The second lecture will be given next Wednesday, June 29th by Dr. Simion Filip, University of Chicago. I have included&hellip; <\/p>\n<p class=\"more-link-wrap\"><span><a class=\"more-link button text\" href=\"https:\/\/blogarchive.utc.edu\/campus-weekly\/2022\/06\/special-colloquium-lecture-series-part-2\/\"><span>Continue Reading <\/span><\/a><\/span><\/p>\n","protected":false},"author":1493,"featured_media":23,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[15,120183,8,120186],"tags":[],"class_list":{"0":"post-606","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-campus","8":"category-faculty-staff","9":"category-news","10":"category-students-news","11":"entry"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Special Colloquium Lecture Series, Part 2 - Campus Updates Archive<\/title>\n<meta name=\"robots\" content=\"noindex, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Special Colloquium Lecture Series, Part 2 - Campus Updates Archive\" \/>\n<meta property=\"og:description\" content=\"This summer, the Department of Mathematics is running an online Special Colloquium Lecture Series on mathematical analysis and applications in allied fields. 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