BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

An Introduction to Homomesy through Promotion and Rowmotion on Order Ideals Vorland, Corey


Homomesy is a phenomenon in which a statistic on a set under an action has the same average value over any orbit under as its global average. Homomesy results have been discovered among many combinatorial objects, such as order ideals of posets and various tableaux. In this talk, I will give a brief introduction to homomesy and explore some of these results. The main emphasis will be Propp and Robyâ s homomesy results on order ideals of a product of two chains poset under rowmotion and promotion, along with my own results on order ideals of a product of three chains.

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