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Thursday, July 16, 2020

Thursday, July 16, 2020 — 2:30 PM EDT

Title: Dynamics of plane partitions

Speaker: Oliver Pechenik Affiliation: University of Waterloo Zoom: Contact Karen Yeats

Abstract:

Consider a plane partition P in an a X b X c box. The rowmotion operator sends P to the plane partition generated by the minimal elements of its complement. We show rowmotion resonates with frequency a+b+c-1, in the sense that each orbit size shares a prime divisor with a+b+c-1. This confirms a 1995 conjecture of Peter Cameron and Dmitri Fon-Der-Flaass. (Based on joint works with Kevin Dilks & Jessica Striker and with Becky Patrias.)

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