6 citations · 9 across the 9 of their papers we have counts for
11 papers
A nonabelian Fourier transform for tempered unipotent representations, II
Anne-Marie Aubert, Dan Ciubotaru, Beth Romano
We extend the construction of the nonabelian Fourier transform proposed in our previous paper from the space of unipotent elliptic characters to the space of unipotent compact char…
Families of curves in Vinberg representations
Jef Laga, Beth Romano
Inspired by orbit parametrizations in arithmetic statistics, we explain how to construct families of curves associated to certain nilpotent elements in -gra…
An LLL algorithm with symmetries
Beth Romano, Jack A. Thorne
We give a generalisation of the Lenstra-Lenstra-Lovász (LLL) lattice-reduction algorithm that is valid for an arbitrary (split, semisimple) reductive group . This can be regarde…
On input and Langlands parameters for epipelagic representations
Beth Romano
A paper of Reeder-Yu gives a construction of epipelagic supercuspidal representations of -adic groups. The input for this construction is a pair where is a stable v…
Stable vectors in dual Vinberg representations of
Beth Romano
This paper gives a classification of stable vectors in dual Vinberg representations coming from a graded Lie algebra of type in a way that is independent of the field of defi…
A nonabelian Fourier transform for tempered unipotent representations
Anne-Marie Aubert, Dan Ciubotaru, Beth Romano
We define an involution on the space of compact tempered unipotent representations of inner twists of a split simple -adic group and investigate its behaviour with respect t…
From -modular to -adic Langlands correspondences for : deformations in the non-supercuspidal case
Ramla Abdellatif, Agnès David, Beth Romano +1
This paper surveys what is known about (conjectural) -adic and -modular semisimple Langlands correspondences in the non-supercuspidal setting for the unramified quasi-split u…
On central extensions and simply laced Lie algebras
Beth Romano
Let be a simply laced root lattice and an elliptic automorphism of of order . This paper gives a construction that begins with a central extension of the group of co…
and the average size of the 3-Selmer group of the Jacobian of a pointed genus-2 curve
Beth Romano, Jack A. Thorne
We prove that the average size of the 3-Selmer group of a genus-2 curve with a marked Weierstrass point is 4.
On the arithmetic of simple singularities of type E
Beth Romano, Jack A. Thorne
An ADE Dynkin diagram gives rise to a family of algebraic curves. In this paper, we use arithmetic invariant theory to study the integral points of the curves associated to the exc…
Stable vectors in Moy-Prasad filtrations
Jessica Fintzen, Beth Romano
Let k be a finite extension of Q_p, let G be an absolutely simple split reductive group over k, and let K be a maximal unramified extension of k. To each point in the Bruhat-Tits b…