The v-Core Label Order and Non-crossing Partitions in Tamari Lattices

Learn about the generalization of non-crossing partition lattices through a mathematical research talk that explores the core label order of the v-Tamari lattice. Delve into the fascinating properties of non-crossing partition lattices as partial orders on Catalan-counted objects, examining how maximal chains in the poset correlate with parking functions and the relationship between Möbius functions and Catalan numbers. Presented at the Workshop on "Recent Perspectives on Non-crossing Partitions through Algebra, Combinatorics, and Probability" at the Erwin Schrödinger International Institute, discover how classical enumerative results extend into this more general context of v-core label ordering.