# Reduced Factorizations in the Symmetric Group, Part I

## Meeting Details

Abstract: In this first of two talks, we will present a brief introduction to the saga of reduced factorizations in the symmetric group. Through the use of balanced tableaux, we will show that for Grassmanian (i.e., one descent) and dominant (i.e., 132-avoiding) permutations of shape $\lambda$, the number of reduced factorizations is equal to the number of standard Young tableaux of shape $\lambda$.