72 citations · 137 across the 13 of their papers we have counts for
14 papers
Ennola duality for decomposition of tensor products
Emmanuel Letellier, Fernando Rodriguez-Villegas
The aim of this paper is to investigate Ennola duality for decomposition of tensor products of irreducible characters of finite general linear groups and finite unitary groups. We…
E-series of character varieties of non-orientable surfaces
Emmanuel Letellier, Fernando Rodriguez-Villegas
In this paper we are interested in two kinds of (stacky) character varieties associated to a compact non-orientable surface. (A) We consider the quotient stack of the space of repr…
A case of the Rodriguez Villegas conjecture
Ted Chinburg, Eduardo Friedman, Fernando Rodriguez-Villegas +1
Let L be a number field and let E be any subgroup of the units O_L^* of L. If rank(E) = 1, Lehmer's conjecture predicts that the height of any non-torsion element of E is bounded b…
Vertex operators and character varieties
Erik Carlsson, Fernando Rodriguez-Villegas
We prove some combinatorial conjectures extending those proposed in [13, 14]. The proof uses a vertex operator due to Nekrasov, Okounkov, and the first author [4] to obtain a "glui…
Positivity of Kac polynomials and DT-invariants for quivers
Tamas Hausel, Emmanuel Letellier, Fernando Rodriguez-Villegas
We give a cohomological interpretation of both the Kac polynomial and the refined Donaldson-Thomas- invariants of quivers. This interpretation yields a proof of a conjecture of Kac…
Arithmetic harmonic analysis on character and quiver varieties II
Tamas Hausel, Emmanuel Letellier, Fernando Rodriguez-Villegas
We study connections between the topology of generic character varieties of fundamental groups of punctured Riemann surfaces, Macdonald polynomials, quiver representations, Hilbert…