Department of Mathematics

Combinatorics and Graph Theory

  •  Volker Strehl, Friedrich-Alexander-Universität
  •  A valuation problem for strict partitions — and where it comes from
  •  04/07/2021
  •  3:00 PM - 3:50 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Bruce E Sagan (bsagan@msu.edu)

I will present a rational function valuation on strict partitions as shapes that is defined via shifted standard tableaux. The goal is to determine explicit expressions for this valuation by solving a linear system that reflects the lattice structure of strict partitions. Somewhat surprisingly, this leads into the area of symmetric functions. The problem as such may appear as an isolated curiosity, yet is motivated by the extension of the model for an asymmetric annihilation process originally proposed by A. Ayyer and K. Mallick (2010).

 

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