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SUMMARY:Graduate Student Colloquium: Alexander Moon
DESCRIPTION:Kohnert Properties of Northeast Diagrams\nAlexander Moon\nGraduate Student\nUniversity of Wisconsin – Milwaukee \nKohnert 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 “northeast” diagrams. I will present some conditions for the boundedness and rankedness of a “northeast” 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’s GRWC.
URL:https://uwm.edu/math/event/graduate-student-colloquium-alexander-moon/
LOCATION:EMS Building\, Room E495\, E495; 3200 N Cramer St.\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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