# Meeting Details

For more information about this meeting, contact Matthew Katz, James Sellers, George Andrews.

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.

### Room Reservation Information

Room Number: MB106 12 / 04 / 2012 11:15am - 12:05pm