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SUMMARY:Graduate Student Colloquium: Melissa Beerbower
DESCRIPTION:On the Lucky Sets of Fubini Rankings\nMelissa Beerbower\nLoyola University Chicago \nRecall that Fubini rankings of length n are rankings of n competitors allowing for ties. We can say that the number of rankings\, k\, with k less than or equal to n\, is equal to the number of lucky competitors. A lucky competitor is the first to attain its rank. We enumerate Fubini rankings recursively through fixed sets of lucky competitors. Also recall that unit Fubini rankings are Fubini rankings with at most two competitors for each rank. We enumerate unit Fubini rankings through fixed lucky sets. Our enumerations explain twin coefficients for minimum powers in the lucky polynomial of ell-interval Fubini rankings.
URL:/math/event/graduate-student-colloquium-melissa-beerbower/
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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DTSTART;TZID=America/Chicago:20240920T123000
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CREATED:20240917T155920Z
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SUMMARY:Graduate Student Colloquium: Joe Paulson
DESCRIPTION:Introduction to (Partial) Z-Boundaries\nJoe Paulson\nPhD Graduate Student\nUniversity of Wisconsin – Milwaukee \nIn this talk\, I’ll share an abridged story of Z-boundaries and their utility in group theory. Throughout\, we’ll revisit some main characters (compactifications\, homotopy groups\, group actions) and introduce some new ones (group boundaries\, shape invariance). As our story seemingly resolves\, we’ll adapt and refocus on a theory of partial Z-boundaries (ie. Z_n-boundaries) and identify some preliminary results.
URL:/math/event/graduate-student-colloquium-joe-paulson/
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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BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20240927T123000
DTEND;TZID=America/Chicago:20240927T133000
DTSTAMP:20260420T125804
CREATED:20240924T180747Z
LAST-MODIFIED:20240924T185718Z
UID:10016180-1727440200-1727443800@uwm.edu
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:/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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