# Meeting Details

Title: A combinatorial formula for certain Hecke algebra characters Combinatorics/Partitions Seminar Sam Clearman, Lehigh The Hecke-Iwahori algebra $H_n(q)$ is a quantum of the symmetric group algebra. We conjecture a combinatorial interpretation of the induced trivial character $\eta^\lambda_q$ on certain $H_n(q)$ elements. In particular, we conjecture that these polynomials are the generating functions of the path tableaux of specified planar networks under an appropriate statistic. We discuss connections to chromatic polynomials and totally nonnegative matrices.