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Order Polynomial Product Formulas and Poset Dynamics

Sam Hopkins, University of Minnesota
Wednesday, November 4, 2020 - 3:30pm to 5:00pm
via Zoom
Sam Hopkins

Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10. 

Join Zoom Meeting:
Meeting ID: 950 2088 4635

I'll present a heuristic for finding special families of partially ordered sets. The heuristic says that the posets with order polynomial product formulas are the same as the posets with good dynamical behavior. Here the order polynomial is a certain enumerative invariant of the poset. Meanwhile, the dynamics in question come from two invertible operators called promotion (acting on linear extensions) and rowmotion (acting on order ideals and P-partitions). This talk includes joint work with Tri Lai, and with Martin Rubey.