Student Combinatorics Seminar Seminar

Evacuation is a map on semistandard Young tableaux with interesting combinatorial properties. For example, the standard Young tableaux fixed by evacuation are in bijection with domino tableaux, and the number of these objects is given by evaluating the q-analogue of the hook-length formula at q = -1. In the first part of the talk, I will explain what all of these words mean (assuming no background in tableau combinatorics), and sketch proofs of the above-mentioned results. At the end of the talk, I will discuss a generalization that arose in joint work of the speaker with Mike Chmutov, Dongkwan Kim, Joel Lewis, and Elena Yudovina. Speaker(s): Gabriel Frieden (University of Michigan)