collaborators

6 papers

math.CO2026

Extremality in semidistributive lattices

Adrien Segovia

We establish several independent results concerning extremal, left modular, congruence uniform, and semidistributive lattices. An equivalent characterization of left modular lattic…

math.CO2026

Dimension of unicycle posets

Antoine Abram, Adrien Segovia

Motivated by the study of the dimension of random posets, it was conjectured by Bollobás and Brightwell in 1997 that if is a finite poset whose cover graph contains at most on…

math.CO2026

-Tamari and higher torsion lattices of type

Adrien Segovia

The goal of this work is to study the combinatorics of the lattices of higher torsion classes of the higher Auslander and Nakayama algebras of type \textbf{A}. Combinatorial descri…

math.CO2025

-Tamari lattices

Adrien Segovia

Given any poset and chain in , we define the -Tamari lattice. We study in depth these lattices and prove in particular that they are join-semidistributive, join…

math.CO2025

Rowmotion and Echelonmotion

Colin Defant, Yuhan Jiang, Rene Marczinzik +4

Given a linear extension of a finite poset , we consider the permutation matrix indexing the Schubert cell containing the Cartan matrix of with respect to . This yi…

math.CO2025

The free and parking quasi-symmetrizing actions

Adrien Segovia

We define two actions of the infinite symmetric group on the set of words on positive integers, called the free and parking quasi-symmetrizing actions, whose invariants are respect…