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The derivation of the curvature-based lower bound involves an isoperimetric inequality for framed loops, which we believe to be of independent interest.\r\n\r\nContact: Ian Tobasco", "occurrence_notes":null, "guid":"140580-21887369@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/140580", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"1084", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Mathematics"], "website":"", "sponsors":[ { "group_name":"Applied Interdisciplinary Mathematics (AIM) Seminar - Department of Mathematics", "group_id":"4882", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"", "styled_images":{ "event_thumb":"", "event_large":"", "event_large_2x":"", "event_large_lightbox":"", "group_thumb":"", "group_thumb_square":"", "group_large":"", "group_large_lightbox":"", "event_large_crop":"", "event_list":"", "event_list_2x":"", "event_grid":"", "event_grid_2x":"", "event_feature_large":"", "event_feature_thumb":"" }, "occurrence_count":1, "first_occurrence":21887369 } , "143632-21893539": { "datetime_modified":"20260109T164133", "datetime_start":"20260109T150000", "datetime_end":"20260109T160000", "has_end_time":1, "date_start":"2026-01-09", "date_end":"2026-01-09", "time_start":"15:00:00", "time_end":"16:00:00", "time_zone":"America\/Detroit", "event_title":"Capstone & Community - Essential Skills for the Workplace: Project Management", "occurrence_title":"", "combined_title":"Capstone & Community - Essential Skills for the Workplace: Project Management", "event_subtitle":"", "event_type":"Other", "event_type_id":"22", "description":"This workshop will cover practical project management skills relevant to those with foundational experience gained from client-based projects and internships. 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