{ "152485-21913804": { "datetime_modified":"20260921T113940", "datetime_start":"20260923T143000", "datetime_end":"20260923T153000", "has_end_time":1, "date_start":"2026-09-23", "date_end":"2026-09-23", "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: The Fermionic Fock space and symmetric functions (Dawei Shen)", "event_subtitle":"The Fermionic Fock space and symmetric functions (Dawei Shen)", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"The fermionic Fock space is the semi-infinite wedge of a countably infinite dimensional vector space, with a basis indexed by pairs of a partition and an integer. We explain how the \ud835\udd24\ud835\udd29(\u221e)-action decomposes the Fock space into irreps, using a basis of \ud835\udd24\ud835\udd29(\u221e) built from composing exterior multiplication with contraction. We then introduce operators as infinite sums of the \ud835\udd24\ud835\udd29(\u221e) operators, whose action on each irrep can be used to identify it with the ring of symmetric functions. Along the way, we reprove the skew Jacobi-Trudi identity. No physics background assumed.", "occurrence_notes":null, "guid":"152485-21913804@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/152485", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"4088", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Mathematics"], "website":"https:\/\/gtbarkley.org\/seminars\/latticemodels26\/", "sponsors":[ { "group_name":"Learning Seminar in Algebraic Combinatorics - Department of Mathematics", "group_id":"4894", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/09\/event_152485_original-1.png", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2026\/09\/event_152485_original-1.png", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/09\/event_152485_original-1.png", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_2x\/media\/attachments\/2026\/09\/event_152485_original-1.png", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/09\/event_152485_original-1.png", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb\/media\/attachments\/2026\/09\/event_152485_original-1.png", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb_square\/media\/attachments\/2026\/09\/event_152485_original-1.png", "group_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large\/media\/attachments\/2026\/09\/event_152485_original-1.png", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large_lightbox\/media\/attachments\/2026\/09\/event_152485_original-1.png", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_crop\/media\/attachments\/2026\/09\/event_152485_original-1.png", "event_list":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_list\/media\/attachments\/2026\/09\/event_152485_original-1.png", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/09\/event_152485_original-1.png", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2026\/09\/event_152485_original-1.png", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid_2x\/media\/attachments\/2026\/09\/event_152485_original-1.png", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_large\/media\/attachments\/2026\/09\/event_152485_original-1.png", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2026\/09\/event_152485_original-1.png" }, "occurrence_count":1, "first_occurrence":21913804 } , "152473-21913794": { "datetime_modified":"20260919T190217", "datetime_start":"20260923T143000", "datetime_end":"20260923T153000", "has_end_time":1, "date_start":"2026-09-23", "date_end":"2026-09-23", "time_start":"14:30:00", "time_end":"15:30:00", "time_zone":"America\/Detroit", "event_title":"Student Number Theory: An introduction to the local Langlands correspondence", "occurrence_title":"", "combined_title":"Student Number Theory: An introduction to the local Langlands correspondence: Kaya Lakein", "event_subtitle":"Kaya Lakein", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"This talk aims to give a friendly, high level introduction to the local Langlands correspondence. I will start by recalling some of the basic definitions in p-adic representation theory, and then state the (crude) local Langlands correspondence. I will discuss the refinement of the local Langlands correspondence for quasi-split groups, and -- time permitting -- comment on the refinement in the non-quasi-split case.", "occurrence_notes":null, "guid":"152473-21913794@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/152473", "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":21913794 } }