Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)

Extended abstracts listed by author > Pechenik Oliver

Resonance in orbits of plane partitions
Kevin Dilks  1  , Oliver Pechenik  2  , Jessica Striker  1  
1 : Department of Mathematics [Fargo]  -  Website
Department of Mathematics - North Dakota State University Minard 408. 1210 Albrecht Boulevard, Fargo, ND 58102 -  États-Unis
2 : Department of Mathematics [Urbana]  -  Website
Department of Mathematics 1409 W. Green Street Urbana, IL 61801 -  États-Unis

We introduce a new concept of resonance on discrete dynamical systems. Our main result is an equivariant bijection between plane partitions in a box under rowmotion and increasing tableaux under K-promotion, using a generalization of the equivariance of promotion and rowmotion [J. Striker–N. Williams '12] to higher dimensional lattices. This theorem implies new results for K-promotion and new proofs of previous results on plane partitions. 

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