Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)
Title: Planar Networks and Quantum Immanants
Speaker: Samuel Clearman, Lehigh University
Date: Thursday, February 26, 2015 5:00pm
Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ
Certain Kazdhan-Lustig basis elements for the type A Iwahori-Hecke algebra admit a combinatorial model in terms of planar networks. Using these networks and quantum matrix immanants, we give positive combinatorial formulae for evaluating the induced sign and trivial characters. We discuss connections to chromatic symmetric functions and total nonnegativity.