# discrete CATS seminar

Date:

09/21/2020 - 2:00pm to 3:00pm

Location:

Zoom

Speaker(s) / Presenter(s):

Emine Yildirim (Queens University)

**Title:**The Coxeter Transformation and Rowmotion for cominuscule posets

**Abstract:**There is a combinatorial action, called the Rowmotion, defined on cominuscule posets. It is well-known that this action has order 'h' on the order ideal poset of a cominuscule poset where h is the Coxeter number of the corresponding root system. Also, we will talk about the action of the Coxeter transformation on the order ideals of cominuscule posets. We prove that the Coxeter transformation is periodic of order 'h+1' (up to a sign) in most cases. We will demonstrate combinatorial similarities of the orbits of these two actions.

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