[Turkmath:5873] MSGSÜ Seminar: Ezgi Kantarcı Oğuz / Unimodality of Fences and Oriented posets / 08.12.22 Thur. @16:00
Mustafa Topkara
m.e.topkara at gmail.com
Mon Dec 5 06:45:05 UTC 2022
Dear all,
The information on this week's MSGSÜ Mathematics Dept. General Seminar is
below.
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*Speaker*: Ezgi Kantarcı Oğuz (Galatasaray Üniversitesi)
*Title:* 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 2x2 matrices. We discuss recent results
and further work. (partially based on joint works with Emine Yıldırım,
Mohan Ravichandran and Yalım Özel).
*Time:* 8 December 2022 Thursday, 16:00
*Place:* MSGSÜ Bomonti Campus - Mathematics Dept. Seminar Room
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