{"id":3419,"date":"2024-03-26T13:54:45","date_gmt":"2024-03-26T20:54:45","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=3419"},"modified":"2024-03-26T13:54:45","modified_gmt":"2024-03-26T20:54:45","slug":"clocks-parking-garages-and-the-solvability-of-the-quintic-a-friendly-introduction-to-monodromy-edray-goins-pomona-college","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/clocks-parking-garages-and-the-solvability-of-the-quintic-a-friendly-introduction-to-monodromy-edray-goins-pomona-college\/","title":{"rendered":"Clocks, parking garages, and the solvability of the quintic: a friendly introduction to monodromy (Edray Goins, Pomona College)"},"content":{"rendered":"<p>Imagine the hands on a clock. \u00a0For every complete the minute hand makes, the seconds hand makes 60, while the hour hand only goes one twelfth of the way. \u00a0 We may think of the hour hand as generating a group such that when we &#8220;move&#8221; twelve times then we get back to where we started. \u00a0This is the elementary concept of a monodromy group. In this talk, we give a gentle introduction to a historical mathematical concept which relates calculus, linear algebra, differential equations, and group theory into one neat theory called &#8220;monodromy&#8221;. \u00a0We explore lots of real world applications, including why it\u2019s so easy to get lost in parking garages, and present some open problems in the field. \u00a0We end the talk with a discussion of how this is all related to solving polynomial equations, such as Abel\u2019s famous theorem on the insolubility of the quintic by radicals.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Imagine the hands on a clock. \u00a0For every complete the minute hand makes, the seconds hand makes 60, while the hour hand only goes one twelfth of the way. \u00a0 [&hellip;]<\/p>\n","protected":false},"author":73,"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":[13],"class_list":["post-3419","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-antc-seminar","cat_antc-seminar"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - 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