[Turkmath:5511] Galatasaray Üniversitesi Genel Seminerleri

[özge ülkem]

Merhabalar,

23 Mart Çarşamba günü saat 15.00'de Boğaziçi Üniversitesi'nden Ezgi Kantarcı Oğuz Galatasaray Üniversitesi'nde bir konuşma verecektir. Konuşma yüz yüze H306 sınıfında yapılacaktır. Konuşmanın detaylarını aşağıda bulabilirsiniz.

Sevgiler,
Özge Ülkem


Title: Rank Polynomials of Fence Posets are Unimodal

Abstract: We prove a conjecture of  Morier-Genoud and Ovsienko that says that rank polynomials of  the distributive lattices of lower ideals of fence posets are unimodal. We do this by introducing a related class of circular fence posets and proving a stronger version of the conjecture due to  McConville, Sagan and Smyth. We show that the rank polynomials of circular fence posets are symmetric and conjecture that unimodality holds except in some particular cases. We also apply the recent work of Elizalde, Plante, Roby and Sagan on rowmotion on fences and show many of their homomesy results hold for the circular case as well (joint work with Mohan Ravichandran).
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