Parking functions and certain bond lattices

Susanna Fishel (ASU, Phoenix)

Feb 20. 2025, 16:00 — 16:45

Both the noncrossing partition/Kreweras lattice and parking
functions are well-studied objects in combinatorics. In 1997 Richard
Stanley found a bijection between the maximal chains in the lattice and
parking functions. We investigated what happens under the bijection
when we restrict the noncrossing partition lattice to certain induced
sublattices (certain bond lattices). I will describe all the lattices
involved, some enumerative properties, and recent work on the
h-polynomial. This is joint work over several projects with many
people.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Recent Perspectives on Non-crossing Partitions through Algebra, Combinatorics, and Probability (Workshop)
Organizer(s):
Adrian Celestino Rodriguez (TU Graz)
Kurusch Ebrahimi-Fard (NTNU, Trondheim)
James Mingo (Queen's U, Kingston)
Martin Rubey (TU Vienna)
Eleni Tzanaki (U of Crete)
Yannic Vargas (CUNEF U, Madrid)