{ "138593-21883425": { "datetime_modified":"20250928T215807", "datetime_start":"20250909T090000", "datetime_end":"20250909T100000", "has_end_time":1, "date_start":"2025-09-09", "date_end":"2025-09-09", "time_start":"09:00:00", "time_end":"10:00:00", "time_zone":"America\/Detroit", "event_title":"Pfaffians as \u03c4 -functions of the BKP hierarchy: a constructive parametrization of complex pure spinors de E. Cartan", "occurrence_title":"", "combined_title":"Pfaffians as \u03c4 -functions of the BKP hierarchy: a constructive parametrization of complex pure spinors de E. Cartan: Yuancheng Xie (Shenzhen MSU-BIT University)", "event_subtitle":"Yuancheng Xie (Shenzhen MSU-BIT University)", "event_type":"Livestream \/ Virtual", "event_type_id":"24", "description":"It is well known that \u03c4 -functions of KP hierarchy are parameterized by points in Sato\u2019s Universal Grassmannian manifold (UGM). These \u03c4 -functions have Schur expansions with coefficients satisfying Pl\u00fccker relations. In this talk we will show that all \u03c4 -functions of BKP hierarchy can be written as Pfaffians of skew-symmetric matrices. These \u03c4 -functions are parameterized by points in the universal orthogonal Grassmannian manifold (UOGM). They have natural Schur-Q expansions with coefficients satisfying Cartan-Pl\u00fccker relations. As a byproduct this parameterization gives a constructive description for complex pure spinors de E. Cartan. As an application, we reprove a theorem due to A. Alexandrov which states that \u03c4 -functions of KdV satisfy BKP up to rescaling of the time parameters by 2. We prove this by showing that the KdV hierarchy can be viewed as 4-reduction of the BKP hierarchy. This interpretation gives complete characterization for the KdV orbits nside the BKP hierarchy. This talk is based on preprint arXiv:2210.03307.", "occurrence_notes":null, "guid":"138593-21883425@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/138593", "building_id":"null", "building_name":"Off Campus Location", "campus_maps_id":"1", "room":"", "location_name":"Virtual", "has_livestream":0, "cost":"", "tags":["Mathematics","Seminar","Virtual"], "website":"https:\/\/sites.google.com\/umich.edu\/isrmt-seminar\/", "sponsors":[ { "group_name":"Integrable Systems and Random Matrix Theory Seminar - Department of Mathematics", "group_id":"4893", "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":21883425 } , "137103-21879550": { "datetime_modified":"20250806T172347", "datetime_start":"20250909T090000", "datetime_end":"20250909T200000", "has_end_time":1, "date_start":"2025-09-09", "date_end":"2025-09-09", "time_start":"09:00:00", "time_end":"20:00:00", "time_zone":"America\/Detroit", "event_title":"Suave Mechanicals: A Celebration of Nine Volumes on the Art and History of Bookbinding (2013\u20132025)", "occurrence_title":"", "combined_title":"Suave Mechanicals: A Celebration of Nine Volumes on the Art and History of Bookbinding (2013\u20132025)", "event_subtitle":"", "event_type":"Exhibition", "event_type_id":"7", "description":"Explore the art of judging\u00a0books by their covers!\u00a0This exhibit highlights a selection of rare books from the University of Michigan's collections, each of them representing binding topics featured in \"Suave Mechanicals,\"\u00a0the acclaimed nine-volume series dedicated to the study of the art and history of bookbinding. \r\n\r\nSpanning from 2013 to 2025, \"Suave Mechanicals\"\u00a0contains 85 essays, 27 of which examine the same type of binding as the artifacts on display. Edited by Julia Miller and published by Cathleen A. Baker of The Legacy Press, the series was conceived as a platform for fresh, in-depth scholarship on bookbinding, from its earliest origins to contemporary practice.\u00a0 \r\n\r\nContributors include first-time authors and established experts \u2014 bookbinders, conservators, librarians, curators, catalogers, book artists, collectors, and historians \u2014 offering a vibrant array of voices and insights into the craftsmanship, culture, and enduring fascination of bookbinding.\r\n\r\nJoin us for Coffee with the Curator on October 1, 10am-12pm.", "occurrence_notes":null, "guid":"137103-21879550@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/137103", "building_id":"1000181", "building_name":"Hatcher Graduate Library", "campus_maps_id":"65", "room":"Hatcher Gallery Exhibit Room (1st floor)", "location_name":"Hatcher Graduate Library", "has_livestream":0, "cost":"", "tags":["Books","Free","Library"], "website":"https:\/\/www.lib.umich.edu\/events", "sponsors":[ { "group_name":"University Library", "group_id":"1186", "website":"https:\/\/www.facebook.com\/UMichLibrary\/" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/group_thumb\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/group_thumb_square\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "group_large":"https:\/\/events.umich.edu\/media\/cache\/group_large\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/group_large_lightbox\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/event_large_crop\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "event_list":"https:\/\/events.umich.edu\/media\/cache\/event_list\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/event_grid_2x\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/event_feature_large\/media\/attachments\/2025\/08\/event_137103_original-1.jpg", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2025\/08\/event_137103_original-1.jpg" }, "occurrence_count":97, "first_occurrence":21879549 } }