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Sam Hopkins, University of Minnesota, Order Polynomial Product Formulas and Poset Dynamics

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January 6 | 12:00 pm - 1:00 pm EST

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Sam Hopkins will 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 includes promotion of linear extensions, and rowmotion of order ideals and P-partitions. This heuristic has successfully been applied ‘in both directions’ to find the first new examples of posets with these properties in many years.


Zoom link:  https://ncsu.zoom.us/j/95078065296?pwd=azA3M3VJNTRRd1RCc0tMWncxazkrUT09


You can find further details, including a copy of his CV here.




January 6

12:00 pm - 1:00 pm
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