Skip to Content

Sponsors

No results

Keywords

No results

Types

No results

Search Results

Events

No results
Search events using: keywords, sponsors, locations or event type
When / Where
All occurrences of this event have passed.
This listing is displayed for historical purposes.

Presented By: Combinatorics Seminar - Department of Mathematics

Operahedron Lattices (Combinatorics Seminar)

Andrew Sack, University of Michigan

The 1-skeleton of an operahedron The 1-skeleton of an operahedron
The 1-skeleton of an operahedron
Two classical lattices are the Tamari lattice on bracketings of a word and the weak order on permutations. The Hasse diagram of each of these lattices is the oriented 1-skeleton of a polytope, the associahedron and the permutohedron respectively.

We examine a poset on bracketings of rooted trees whose Hasse diagram is the oriented 1-skeleton of a polytope called the operahedron. We show this poset is a lattice which answers a question of Laplante-Anfossi. These lattices provide an extremely natural generalization of both the Tamari lattice and the weak order.

No knowledge of lattices or polyhedral combinatorics is assumed.
The 1-skeleton of an operahedron The 1-skeleton of an operahedron
The 1-skeleton of an operahedron

Explore Similar Events

  •  Loading Similar Events...

Back to Main Content