Department of

Mathematics


Seminar Calendar
for events the day of Thursday, December 5, 2019.

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Thursday, December 5, 2019

11:00 am in 241 Altgeld Hall,Thursday, December 5, 2019

To Be Announced

Ilya Khayutin (Northwestern University)

3:00 pm in 347 Altgeld Hall,Thursday, December 5, 2019

Maximizing the Edelman-Greene statistic

Gidon Orelowitz   [email] (UIUC)

Abstract: The Edelman-Greene statistic of of S. Billey-B. Pawlowski measures the "shortness" of the Schur expansion of a Stanley symmetric function. We show that the maximum value of this statistic on permutations of Coxeter length $n$ is the number of involutions in the symmetric group $S_n$ and explicitly describe the permutations that attain this maximum. Our proof confirms a recent conjecture of C. Monical, B. Pankow, and A. Yong: we give an explicit combinatorial injection between a certain collections of Edelman-Greene tableaux and standard Young tableaux.