Department of Mathematics

Combinatorics and Graph Theory

  •  A Combinatorial Formula for Birational Rowmotion on Rectangular Posets
  •  10/24/2017
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall
  •  Gregg Musiker, University of Minnesota

We investigate iterated applications of a dynamic known as birational rowmotion on rectangular posets, i.e. the product of two chains. We obtain a combinatorial formula stated in terms of the weighted enumeration of non-intersecting lattice paths. This work began at the 2015 AIM (American Institute of Mathematics) Workshop on Dynamical Algebraic Combinatorics. We thank AIM for its hospitality.

 

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Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

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