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These workshops are open to the campus community.\u00a0\u00a0Secure & Private: All workshops utilize U-M\u2019s GenAI services, ensuring your prompts and data are never used to train external models.", "occurrence_notes":null, "guid":"147694-21901619@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/147694", "building_id":"", "building_name":"", "campus_maps_id":"", "room":"", "location_name":"", "has_livestream":0, "cost":"", "tags":["Sessions"], "website":"https:\/\/sessions.studentlife.umich.edu\/p\/track\/17048", "sponsors":[ { "group_name":"Sessions @ Michigan", "group_id":"4791", "website":"https:\/\/sessions.studentlife.umich.edu\/" } ], "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":6, "first_occurrence":21901619 } , "148433-21904254": { "datetime_modified":"20260527T111038", "datetime_start":"20260609T110000", "datetime_end":"20260609T130000", "has_end_time":1, "date_start":"2026-06-09", "date_end":"2026-06-09", "time_start":"11:00:00", "time_end":"13:00:00", "time_zone":"America\/Detroit", "event_title":"Modular degree of elliptic curves over function fields in relation to Jacquet-Langlands", "occurrence_title":"", "combined_title":"Modular degree of elliptic curves over function fields in relation to Jacquet-Langlands: Lukas Scheiwiller", "event_subtitle":"Lukas Scheiwiller", "event_type":"Presentation", "event_type_id":"16", "description":"Abstract:\n\nIn this thesis, we study the geometry of automorphic forms in the function field setting. The primary goal of this thesis prove a formula relating degrees of modular parametrization of an elliptic curve by different Drinfeld modular curves. This is analogous to the similar result of Ribet-\nTakahashi [RT97] in the number field setting, which relates degrees of modular parameterizations of an elliptic curve over Q by varying Shimura curves. To prove this result, I prove a result analogous to Ribet\u2019s short exact sequence [Rib90a] which relates the special fibers of Shimura varieties at different primes. Using this technical result I deduce (in the function field case) level-lowering results akin to those of Ribet [Rib90a] and relations between Petersson inner products of modular forms that are related by the Jacquet-Langlands correspondence similar to the work of K. Prasanna [Pra03].", "occurrence_notes":null, "guid":"148433-21904254@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/148433", "building_id":"null", "building_name":"Off Campus Location", "campus_maps_id":"1", "room":"", "location_name":"Virtual", "has_livestream":1, "livestream_type":"zoom", "livetream_require_login":0, "livestream_id":"92090159796", "livestream_password":"modular", "livestream_link":"https:\/\/umich.zoom.us\/j\/92090159796", "cost":"", "tags":["Dissertation","Graduate","Graduate Students","Mathematics"], "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\/05\/event_148433_original-1.jpg", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/group_thumb\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/group_thumb_square\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "group_large":"https:\/\/events.umich.edu\/media\/cache\/group_large\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/group_large_lightbox\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/event_large_crop\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "event_list":"https:\/\/events.umich.edu\/media\/cache\/event_list\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/event_grid_2x\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/event_feature_large\/media\/attachments\/2026\/05\/event_148433_original-1.jpg", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2026\/05\/event_148433_original-1.jpg" }, "occurrence_count":1, "first_occurrence":21904254 } }