MATH Semineri: “Unimodality of Fences and Oriented posets”, Ezgi Kantarcı Oğuz, 15:30 20 Mart (EN)

You are cordially invited to the Algebra Seminar organized by the Department of Mathematics.

Speaker: Ezgi Kantarcı Oğuz (Galatasaray Üniversitesi)

“Unimodality of Fences and Oriented posets.”

Abstract: Fence posets are combinatorial objects that come up in a variety of settings, recently in the work of Morier-Genoud and Ovsienko regarding q-defomed rationals. We prove their conjecture that says that rank polynomials of fence posets are unimodal by introducing a related class of circular fence posets. We further show a piece-by-piece combinatorial method of building fence posets (and others) and calculating their rank polynomials easily via 2×2 matrices. We discuss recent results and further work. (partially based on joint works with Emine Yıldırım, Mohan Ravichandran and Yalım Özel).

Date: Monday, March 20, 2023
Time: 15:30 – 16:30 (UTC+3)

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