![\"\"](\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/09\/BANNER_MOON.jpg\")
<\/h1>\n<\/h1>\nAlexander Moon Kohnert polynomials and posets are combinatorial objects with deep representation theoretic meaning, generalizing both Schubert polynomials and Demazure characters, i.e., key polynomials. In this talk I will explore what Kohnert posets and polynomials are in general, then I will discuss some recent results centering on the Kohnert properties of \u201cnortheast\u201d diagrams. I will present some conditions for the boundedness and rankedness of a \u201cnortheast\u201d Kohnert poset and present a surprising connection between certain minimal elements and key diagrams. There will be a worksheet. This is a joint work with Aram Bingham, Beth Anne Castellano, Kimberly Hadaway, Reuven Hodges, Yichen Ma, and Kyle Salois that originated at this year\u2019s GRWC.<\/p>","excerpt":"","slug":"graduate-student-colloquium-alexander-moon","image":false,"all_day":false,"start_date":"2024-09-27 12:30:00","start_date_details":{"year":"2024","month":"09","day":"27","hour":"12","minutes":"30","seconds":"00"},"end_date":"2024-09-27 13:30:00","end_date_details":{"year":"2024","month":"09","day":"27","hour":"13","minutes":"30","seconds":"00"},"utc_start_date":"2024-09-27 17:30:00","utc_start_date_details":{"year":"2024","month":"09","day":"27","hour":"17","minutes":"30","seconds":"00"},"utc_end_date":"2024-09-27 18:30:00","utc_end_date_details":{"year":"2024","month":"09","day":"27","hour":"18","minutes":"30","seconds":"00"},"timezone":"America\/Chicago","timezone_abbr":"CDT","cost":"","cost_details":{"currency_symbol":"$","currency_code":"USD","currency_position":"prefix","values":[]},"website":"","show_map":true,"show_map_link":true,"hide_from_listings":false,"sticky":false,"featured":false,"categories":[{"name":"Graduate Student Colloquia","slug":"graduate-student-colloquia","term_group":0,"term_taxonomy_id":70,"taxonomy":"tribe_events_cat","description":"","parent":0,"count":32,"filter":"raw","id":70,"urls":{"self":"https:\/\/uwm.edu\/math\/wp-json\/tribe\/events\/v1\/categories\/70","collection":"https:\/\/uwm.edu\/math\/wp-json\/tribe\/events\/v1\/categories"}}],"tags":[],"venue":{"id":1865,"author":"166","status":"publish","date":"2014-11-13 15:54:53","date_utc":"2014-11-13 21:54:53","modified":"2015-09-18 16:55:57","modified_utc":"2015-09-18 21:55:57","url":"https:\/\/uwm.edu\/math\/venue\/ems-building-room-e495\/","venue":"EMS Building, Room E495","slug":"ems-building-room-e495","address":"E495; 3200 N Cramer St.","city":"Milwaukee","country":"United States","state":"WI","zip":"53211","phone":"414-229-4836","website":"uwm.edu\/letsci\/math","stateprovince":"WI","geo_lat":43.0758771,"geo_lng":-87.885831199999998,"json_ld":{"@type":"Place","name":"EMS Building, Room E495","description":"","url":"https:\/\/uwm.edu\/math\/venue\/ems-building-room-e495\/","address":{"@type":"PostalAddress","streetAddress":"E495; 3200 N Cramer St.","addressLocality":"Milwaukee","addressRegion":"WI","postalCode":"53211","addressCountry":"United States"},"geo":{"@type":"GeoCoordinates","latitude":43.0758771,"longitude":-87.885831199999998},"telephone":"414-229-4836","sameAs":"uwm.edu\/letsci\/math"},"show_map":true,"show_map_link":true,"global_id":"uwm.edu\/math?id=1865","global_id_lineage":["uwm.edu\/math?id=1865"]},"organizer":[{"id":11640,"author":"4217","status":"publish","date":"2021-03-30 09:57:17","date_utc":"2021-03-30 14:57:17","modified":"2021-03-30 09:57:17","modified_utc":"2021-03-30 14:57:17","url":"https:\/\/uwm.edu\/math\/organizer\/the-department-of-mathematical-sciences-3\/","organizer":"The Department of Mathematical Sciences","slug":"the-department-of-mathematical-sciences-3","website":"uwm.edu\/math","email":"math-staff@uwm.edu","json_ld":{"@type":"Person","name":"The Department of Mathematical Sciences","description":"","url":"http:\/\/uwm.edu\/math","telephone":"","email":"math-staff@uwm.edu","sameAs":"http:\/\/uwm.edu\/math"},"global_id":"uwm.edu\/math?id=11640","global_id_lineage":["uwm.edu\/math?id=11640"]}],"custom_fields":[],"json_ld":{"@context":"http:\/\/schema.org","@type":"Event","name":"Graduate Student Colloquium: Alexander Moon","description":"<p>Kohnert Properties of Northeast Diagrams Alexander Moon Graduate Student University of Wisconsin - Milwaukee Kohnert polynomials and posets are combinatorial objects with deep representation theoretic meaning, generalizing both Schubert polynomials and Demazure characters, i.e., key polynomials. In this talk I …<\/p>\\n","url":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-alexander-moon\/","eventAttendanceMode":"https:\/\/schema.org\/OfflineEventAttendanceMode","eventStatus":"https:\/\/schema.org\/EventScheduled","startDate":"2024-09-27T12:30:00-05:00","endDate":"2024-09-27T13:30:00-05:00","location":{"@type":"Place","name":"EMS Building, Room E495","description":"","url":"https:\/\/uwm.edu\/math\/venue\/ems-building-room-e495\/","address":{"@type":"PostalAddress","streetAddress":"E495; 3200 N Cramer St.","addressLocality":"Milwaukee","addressRegion":"WI","postalCode":"53211","addressCountry":"United States"},"geo":{"@type":"GeoCoordinates","latitude":43.0758771,"longitude":-87.885831199999998},"telephone":"414-229-4836","sameAs":"uwm.edu\/letsci\/math"},"organizer":{"@type":"Person","name":"The Department of Mathematical Sciences","description":"","url":"http:\/\/uwm.edu\/math","telephone":"","email":"math-staff@uwm.edu","sameAs":"http:\/\/uwm.edu\/math"},"performer":"Organization"},"is_virtual":false,"virtual_url":null,"virtual_video_source":""}
\nGraduate Student<\/em>
\nUniversity of Wisconsin – Milwaukee<\/p>\n