Algebraic and enumerative combinatorics seminar-Nick Olson-Harris

Title:Sufficient conditions for equality of skew Schur functions

 Abstract: : A pair of skew shapes are said to be skew equivalent if they admit the same number of semistandard Young tableaux of each weight, or in other words if the skew Schur functions they define are equal. A conjecture of McNamara and van Willigenburg gives necessary and sufficient combinatorial conditions for shapes to be skew equivalent, but neither direction was known to hold in general. We prove sufficiency. The techniques used are Hopf-algebraic in spirit and extend ideas used by Yeats to prove a simple case.

There will be a pre-seminar presenting relevant background at the beginning graduate level starting at 1pm,