BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Proof of birational file homomesy for minuscule posets (Repeat showing) Okada, Soichi


Musiker and Roby used an explicit formula for iterated actions of the birational rowmotion map on a product of two chains, a type A minuscule poset, to gave the first proof of the birational analogue of file homomesy. In this talk, we extend the file homomesy result to birational rowmotion on arbitrary minuscule posets and give an almost uniform proof. Also we discuss a similar result for Coxeter-motion, which is a generalization of promotion on a product of two chains. (The first viewing of this talk was not properly recorded.)

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