{ "154652-21918144": { "datetime_modified":"20261108T201056", "datetime_start":"20261111T143000", "datetime_end":"20261111T153000", "has_end_time":1, "date_start":"2026-11-11", "date_end":"2026-11-11", "time_start":"14:30:00", "time_end":"15:30:00", "time_zone":"America\/Detroit", "event_title":"Learning Seminar in Algebraic Combinatorics", "occurrence_title":"", "combined_title":"Learning Seminar in Algebraic Combinatorics: Representation Theory and Lattice Models", "event_subtitle":"Representation Theory and Lattice Models", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"In this talk, I will explain the representation theory related to lattice models and Nakajima\u2019s quiver varieties.", "occurrence_notes":null, "guid":"154652-21918144@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/154652", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"4088", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Combinatorics","Mathematics"], "website":"https:\/\/gtbarkley.org\/seminars\/latticemodels26\/", "sponsors":[ { "group_name":"Learning Seminar in Algebraic Combinatorics - Department of Mathematics", "group_id":"4894", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb_square\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "group_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large_lightbox\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_crop\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "event_list":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_list\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid_2x\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_large\/media\/attachments\/2026\/11\/event_154652_original-1.jpg", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_thumb\/media\/attachments\/2026\/11\/event_154652_original-1.jpg" }, "occurrence_count":1, "first_occurrence":21918144 } , "154653-21918145": { "datetime_modified":"20261108T205902", "datetime_start":"20261111T143000", "datetime_end":"20261111T153000", "has_end_time":1, "date_start":"2026-11-11", "date_end":"2026-11-11", "time_start":"14:30:00", "time_end":"15:30:00", "time_zone":"America\/Detroit", "event_title":"Student Number Theory: The Gross-Zagier formula", "occurrence_title":"", "combined_title":"Student Number Theory: The Gross-Zagier formula: Beomseok Kwon", "event_subtitle":"Beomseok Kwon", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"The Gross-Zagier formula relates the N\u00e9ron-Tate height of a Heegner point to the central derivative of a Rankin L-function. Combined with Kolyvagin's theory of Euler systems, it establishes the weak Birch and Swinnerton-Dyer conjecture for elliptic curves over Q of analytic rank one.\n\nWe begin by outlining the ideas behind Gross and Zagier's earlier factorization formula for differences of singular moduli, which can be viewed as the local height computation in the special case N=1. For general N, Gross's algebraic approach computes non-archimedean local height pairings, while Zagier's analytic approach computes archimedean local height pairings. On the L-function side, Rankin's method expresses the central derivative as the Petersson inner product with an explicit cusp form. The Gross-Zagier formula then follows by comparing this cusp form with the generating series of height pairings, up to an oldform.\n\nWe conclude with a brief overview of recent developments in the field.", "occurrence_notes":null, "guid":"154653-21918145@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/154653", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"3088", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Mathematics"], "website":"", "sponsors":[ { "group_name":"Student Number Theory Seminar - Department of Mathematics", "group_id":"4906", "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":21918145 } }