Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

RTG/ICLUE Symposium on Combinatorial Representation Theory: Katherine Tung (Harvard)

Event Type: Seminar/Symposium
Sponsor: RTG/ICLUE Symposium on Combinatorial Representation Theory
Location: Altgeld 245
Date: Jun 6, 2025 10:00 - 10:50 am
Speaker: Katherine Tung
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Originating Calendar: General Events - Department of Mathematics; Speaker: Katherine Tung (Harvard)

Title: Postnikov–Stanley polynomials are Lorentzian

Abstract: The M-convexity of dual Schubert polynomials was first proven by Huh, Matherne, Mészáros, and St. Dizier in 2022. We give an alternative, elementary proof of this result, explicitly characterize the Newton polytopes of dual Schubert polynomials, and provide a polynomial-time algorithm for determining if a dual Schubert polynomial coefficient vanishes. We furthermore generalize the M-convexity result by showing that Postnikov–Stanley polynomials, also called skew dual Schubert polynomials, are Lorentzian. This work is contained in papers arXiv:2411.16654 and arXiv:2412.02051, joint with Serena An and Yuchong Zhang.

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