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Algebra-Geometry-Combinatorics Seminar

Event Type
Seminar/Symposium
Sponsor
Algebra-Geometry-Combinatorics Seminar
Location
Altgeld 143
Date
Feb 27, 2025   2:00 - 2:50 pm  
Views
35
Originating Calendar
Algebra, Geometry, and Combinatorics Seminar

Speaker: Linus Setiabrata (University of Chicago)

Title: Double orthodontia formulas and Lascoux positivity

Abstract: Motivated by our search for a representation theoretic avatar for double Grothendieck polynomials G_w(x;y), we give a new formula for G_w(x;y) based on Magyar's orthodontia algorithm for diagrams. Our formula gives a curious positivity result: Writing S_w(x;y) for a vexillary double Schubert polynomial, the polynomial x_1^n\dots x_n^n  S_w(x_n^{-1},\dots, x_1^{-1}; 1,\dots,1) is a graded nonnegative sum of Lascoux polynomials. Joint work with Avery St. Dizier.

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