  {"id":14009,"date":"2024-01-22T11:06:19","date_gmt":"2024-01-22T17:06:19","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&#038;p=14009"},"modified":"2024-01-22T11:40:34","modified_gmt":"2024-01-22T17:40:34","slug":"colloquium-prof-michael-geline","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/colloquium-prof-michael-geline\/","title":{"rendered":"Colloquium: Prof. Michael Geline"},"content":{"rendered":"<h1><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-14010 alignleft\" src=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/01\/BANNER_GELINE.jpg\" alt=\"\" width=\"492\" height=\"252\" srcset=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/01\/BANNER_GELINE.jpg 492w, https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/01\/BANNER_GELINE-300x154.jpg 300w\" sizes=\"auto, (max-width: 492px) 100vw, 492px\" \/><\/h1>\n<h1>A finite geometry problem from some conjectures of Brauer<\/h1>\n<p><a href=\"https:\/\/faculty.niu.edu\/math_geline\/\">Prof. Michael Geline<\/a><br \/>\n<em>Professor of Mathematics<\/em><br \/>\nNorthern Illinois University<\/p>\n<p>We will begin with a problem in &#8220;finite geometry&#8221; which captures at least some of the spirit of algebraic geometry in positive characteristic. More specifically, we will solve an elementary problem about vector spaces over the integers (mod p) by looking at sums of complex roots of unity. We will then see how this problem arose from a conjectured local to global principle in the representation theory of finite groups.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A finite geometry problem from some conjectures of Brauer Prof. Michael Geline Professor of Mathematics Northern Illinois University We will begin with a problem in &#8220;finite geometry&#8221; which captures at least some of the spirit of algebraic geometry in positive &hellip;<\/p>\n","protected":false},"author":4217,"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":[41],"class_list":["post-14009","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-colloquia","cat_colloquia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>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:\/\/uwm.edu\/math\/event\/colloquium-prof-michael-geline\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Colloquium: Prof. Michael Geline\" \/>\n<meta property=\"og:description\" content=\"A finite geometry problem from some conjectures of Brauer Prof. Michael Geline Professor of Mathematics Northern Illinois University We will begin with a problem in &#8220;finite geometry&#8221; 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