The v-core label order and non-crossing partitions

Matthias Müller (TU Graz)

Feb 18. 2025, 14:30 — 15:00

The lattice of non-crossing partitions is a partial order on objects counted by the Catalan numbers. This poset has various generalizations and interesting enumerative properties. For instance, the number of maximal chains in the poset is counted by parking functions, and its Möbius function is up to sign also a Catalan number. In this talk, we consider the generalization of the non-crossing partition lattice given by the core label order of the $\nu$-Tamari lattice, and extend classical enumerative results in this more general context.

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