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)
This is an online seminar. To request the event link, please send a message to email@example.com