From stable to unstable Kronecker coefficients
Speaker:
Mike Zabrocki, York University
Date and Time:
Friday, March 31, 2023 - 3:15pm to 4:15pm
Location:
Fields Institute, Room 210
Abstract:
The coefficient of a Schur function s_la in the Kronecker product s_mu * s_nu are denoted g_(la,mu,nu) and are known as the Kronecker coefficients. For n sufficiently large, as n increases the sequence of coefficients g_((n-|la|,la)(n-|mu|,mu)(n-|nu|,nu)) are known to weakly increase and then stabilize. These limits for large n are sometimes referred to as stable Kronecker coefficients. I will explain a problem related to recovering a combinatorial interpretation for the coefficients g_(la,mu,nu) from a combinatorial interpretation for the stable Kronecker coefficients.