Algebra and Combinatorics Seminar

Date: February 9, 2018

Time: 3:00PM - 3:50PM

Location: BLOC 628

Speaker: Nathan Williams, UT Dallas

Title: Fixed Points of Parking Functions

Abstract: We define an action of words in [m]^n on R^m to give a new characterization of rational parking functions. We use this viewpoint to give a simple definition of Gorsky, Mazin, and Vazirani's zeta map on rational parking functions when m and n are coprime, and prove that this zeta map is invertible. A specialization recovers Loehr and Warrington's sweep map on rational Dyck paths. This is joint work with Jon McCammond and Hugh Thomas.