### DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:**
**Matthew Russell**, Rutgers University, russell2 {at} math [dot] rutgers [dot] edu)
** Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

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

Abstract:

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.

See: http://www.math.rutgers.edu/~russell2/expmath/