3 papers
math.CO2021
The tropical symplectic Grassmannian
George Balla, Jorge Alberto Olarte
We launch the study of the tropicalization of the symplectic Grassmannian, that is, the space of all linear subspaces that are isotropic with respect to a fixed symplectic form. We…
math.CO2018
On local Dressians of matroids
Jorge Alberto Olarte, Marta Panizzut, Benjamin Schröter
We study the fan structure of Dressians $\Dr(d,n)$ and local Dressians $\Dr(\cM)$ for a given matroid $\cM$. In particular we show that the fan structure on $\Dr(\cM)$ given by the…
math.CO2018
Short proof of two cases of Chvátal's conjecture
Jorge Olarte, Francisco Santos, Jonathan Spreer
In 1974 Chvátal conjectured that no intersecting family in a downset can be larger than the largest star. In the same year Kleitman and Magnanti proved the conjecture…