The chain polynomials of noncrossing partition lattices are real-rooted

Katerina Kalampogia-Evangelinou (U Athens)

Feb 19. 2025, 11:30 — 12:00

The coefficients of the chain polynomial of a finite poset enumerate chains in the poset by their number of elements. It has been a challenging open problem to determine which posets have real-rooted chain polynomials. In this talk we prove that noncrossing partition lattices associated to finite Coxeter groups have that property. We also present formulas for the h-polynomials of theses posets, for the irreducible cases.

This is joint work with Christos Athanasiadis and Theo Douvropoulos.

 

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Files:
Slides
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)