{"id":14499,"date":"2024-09-24T13:07:47","date_gmt":"2024-09-24T18:07:47","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&p=14499"},"modified":"2024-09-24T13:57:18","modified_gmt":"2024-09-24T18:57:18","slug":"graduate-student-colloquium-alexander-moon","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-alexander-moon\/","title":{"rendered":"Graduate Student Colloquium: Alexander Moon"},"content":{"rendered":"

\"\"<\/h1>\n

Kohnert Properties of Northeast Diagrams<\/h1>\n

Alexander Moon
\nGraduate Student<\/em>
\nUniversity of Wisconsin – Milwaukee<\/p>\n

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>\n","protected":false},"excerpt":{"rendered":"

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","protected":false},"author":4217,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","uwm_wg_additional_authors":[]},"tags":[],"tribe_events_cat":[70],"class_list":["post-14499","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-graduate-student-colloquia","cat_graduate-student-colloquia"],"yoast_head":"\nMathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-alexander-moon\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graduate Student Colloquium: Alexander Moon\" \/>\n<meta property=\"og:description\" content=\"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. 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