{ "145589-21897561": { "datetime_modified":"20260220T125113", "datetime_start":"20260316T120000", "datetime_end":"20260316T140000", "has_end_time":1, "date_start":"2026-03-16", "date_end":"2026-03-16", "time_start":"12:00:00", "time_end":"14:00:00", "time_zone":"America\/Detroit", "event_title":"Friezes and geometry", "occurrence_title":"", "combined_title":"Friezes and geometry: Katie Waddle", "event_subtitle":"Katie Waddle", "event_type":"Presentation", "event_type_id":"16", "description":"Abstract: A fundamental problem in distance geometry aims to recover a finite tuple of points, viewed up to oriented isometry, from a small collection of input measurements. This thesis explores approaches to this problem based on the use of frieze patterns, numerical arrays whose entries satisfy certain local algebraic relations.\n\nThe thesis consists of two main parts. The first part focuses on quadratic 3-term relations that underlie Coxeter-Conway frieze patterns. It surveys and extends existing work interpreting the values appearing in these relations as geometric measurement data, and establishes direct connections between several geometric contexts in which these relations arise.\n\nThe aim of the second part of the thesis is to exhibit the broader applicability of frieze patterns as a tool in distance geometry. We identify measurement data that determines a finite configuration of points on a two-dimensional sphere in three-dimensional Euclidean space. Extending the work of Fomin and Setiabrata, we introduce spherical Heronian and Cayley-Menger frieze patterns that organize this measurement data. Like classical Coxeter-Conway frieze patterns, these new frieze patterns exhibit glide symmetry and a form of the Laurent phenomenon.", "occurrence_notes":null, "guid":"145589-21897561@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/145589", "building_id":"1000221", "building_name":"School of Education", "campus_maps_id":"136", "room":"2340", "location_name":"School of Education", "has_livestream":1, "livestream_type":"zoom", "livetream_require_login":0, "livestream_id":"8522068555", "livestream_password":"112358", "livestream_link":"https:\/\/umich.zoom.us\/j\/8522068555", "cost":"", "tags":["Mathematics","Graduate Students","Graduate","Dissertation"], "website":"", "sponsors":[ { "group_name":"Dissertation Defense - Department of Mathematics", "group_id":"4889", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/group_thumb\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/group_thumb_square\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "group_large":"https:\/\/events.umich.edu\/media\/cache\/group_large\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/group_large_lightbox\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/event_large_crop\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "event_list":"https:\/\/events.umich.edu\/media\/cache\/event_list\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/event_grid_2x\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/event_feature_large\/media\/attachments\/2026\/02\/event_145589_original-1.jpg", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2026\/02\/event_145589_original-1.jpg" }, "occurrence_count":1, "first_occurrence":21897561 } , "142886-21891765": { "datetime_modified":"20251218T084741", "datetime_start":"20260316T120000", "datetime_end":"20260316T130000", "has_end_time":1, "date_start":"2026-03-16", "date_end":"2026-03-16", "time_start":"12:00:00", "time_end":"13:00:00", "time_zone":"America\/Detroit", "event_title":"Making Durable Environmental Progress", "occurrence_title":"", "combined_title":"Making Durable Environmental Progress: Part of the Environmental and Energy Law Program Lecture Series", "event_subtitle":"Part of the Environmental and Energy Law Program Lecture Series", "event_type":"Lecture \/ Discussion", "event_type_id":"13", "description":"Nancy Stoner, senior attorney at the Environmental Law & Policy Center; former president of the Potomac Riverkeeper Network; as former Acting Assistant Administrator for Water at the EPA\r\n\r\nBased on her decades of experience working to protect the environment, especially clean water, Stoner will discuss how to make environmental progress that lasts and that is less vulnerable to governmental transition flip flops and political divisiveness.", "occurrence_notes":null, "guid":"142886-21891765@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/142886", "building_id":"0", "building_name":"Jeffries Hall", "campus_maps_id":"637", "room":"1020", "location_name":"Jeffries Hall", "has_livestream":0, "cost":"", "tags":["Politics","Sustainability","Social Justice","Social Impact","Public Policy","Public Health","Pre-Law","Activism","Law","Interdisciplinary","In Person","Graduate Students","Graduate School","Graduate","Free","Faculty","Environment","Energy","Discussion","Climate and Space Sciences and Engineering","Civil and Environmental Engineering"], "website":"", "sponsors":[ { "group_name":"Michigan Law Environmental and Energy Law Program", "group_id":"3179", "website":"https:\/\/michigan.law.umich.edu\/academics\/centers-and-programs\/environmental-and-energy-law-program" } ], "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":21891765 } }