A. Bingham

activity

20182021

collaborators

6 papers

math.RT2021

Kazhdan-Lusztig polynomials for $B ~_{2}$

Karina Batistelli, Aram Bingham, David Plaza

Kazhdan and Lusztig define, for an arbitrary Coxeter system $(W, S)$ , a family of polynomials indexed by pairs of elements of $W$ . Despite their relevance and elementary definition,…

math.NT2020

Ternary arithmetic, factorization, and the class number one problem

Aram Bingham

Ordinary binary multiplication of natural numbers can be generalized in a non-trivial way to a ternary operation by considering discrete volumes of lattice hexagons. With this oper…

math.CO2019

$D I I I$ clan combinatorics for the orthogonal Grassmannian

Aram Bingham, Özlem Uğurlu

Borel subgroup orbits of the classical symmetric space $S O_{2 n} / G L_{n}$ are parametrized by $D I I I$ $(n, n)$ -clans. We group the clans into "sects" corresponding to Schubert cells of t…

math.CO2019

Sects and lattice paths over the Lagrangian Grassmannian

Aram Bingham, Ozlem Ugurlu

We examine Borel subgroup orbits in the classical symmetric space of type CI, which are parametrized by skew symmetric (n, n)-clans. We describe bijections between such clans, cert…

math.AG2018

Sects

Aram Bingham, Mahir Bilen Can

By explicitly describing a cellular decomposition we determine the Borel invariant cycles that generate the Chow groups of the quotient of a reductive group by a Levi subgroup. For…

math.AG2018

A Filtration on Equivariant Borel-Moore Homology

Aram Bingham, Mahir Bilen Can, Yıldıray Ozan

Let $G / H$ be a homogeneous variety, and let $X$ be a $G$ -equivariant embedding of $G / H$ such that the number of $G$ -orbits in $X$ is finite. We show that the equivariant Borel-Moore…

Kazhdan-Lusztig polynomials for B~2​