72 citations · 82 across the 18 of their papers we have counts for
16 papers · 1 filter
-character stacks and Langlands duality over finite fields
Emmanuel Letellier, Tommaso Scognamiglio
In this paper we study the mixed Poincaré polynomial of generic -character stacks with coefficients in some local systems arising from the conjugacy cla…
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…
Geometrization of the two orthogonality formulas for Green functions
Gérard Laumon, Emmanuel Letellier
The Green functions were first introduced by Green to compute the character table of GLn(q) in 1955. They were later generalized by Deligne and Lusztig for an arbitrary finite grou…
Fourier transform from the symmetric square representation of and
Gérard Laumon, Emmanuel Letellier
Let be a connected reductive group over and let be an algebraic representation of the dual group . Assuming th…
On the derived Lusztig correspondence
Gérard Laumon, Emmanuel Letellier
Let be a connected reductive group, a maximal torus of , and the normalizer of in . In this paper we study the connection between the derived category of l-ad…
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…
Notes on a conjecture of Braverman-Kazhdan
Gérard Laumon, Emmanuel Letellier
Given a connected reductive algebraic group G over a finite field together with a representation of the dual group of G in GL(n), Braverman and Kazhdan defined an exotic Fourier op…
Locally free representations of quivers over commutative Frobenius algebras
Tamas Hausel, Emmanuel Letellier, Fernando Rodriguez Villegas
In this paper we investigate locally free representations of a quiver Q over a commutative Frobenius algebra R by arithmetic Fourier transform. When the base field is finite we pro…
DT-invariants of quivers and the Steinberg character of GL_n
Emmanuel Letellier
In this paper we give a simple description of DT-invariants of double quivers without potential as the multiplicity of the Steinberg character in some representation associated wit…
Torus orbits on homogeneous varieties and Kac polynomials of quivers
Paul E. Gunnells, Emmanuel Letellier, Fernando Rodriguez Villegas
In this paper we prove that the counting polynomials of certain torus orbits in products of partial flag varieties coincides with the Kac polynomials of supernova quivers, which ar…
Tensor products of unipotent characters of general linear groups over finite fields
Emmanuel Letellier
We study multiplicities of unipotent characters in tensor products of unipotent characters of GL(n,q). We prove that these multiplicities are polynomials in q with non-negative int…
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…
Quiver varieties and the character ring of general linear groups over finite fields
Emmanuel Letellier
We describe the "generic" part of the character ring of general linear groups over a finite field in terms of quiver representations.
Topology of character varieties and representations of quivers
T. Hausel, E. Letellier, F. Rodriguez-Villegas
In arXiv:0810.2076 we presented a conjecture generalizing the Cauchy formula for Macdonald polynomials. This conjecture encodes the mixed Hodge polynomials of the representation va…
Arithmetic harmonic analysis on character and quiver varieties
T. Hausel, E. Letellier, F. Rodriguez-Villegas
We present a conjecture generalizing the Cauchy formula for Macdonald polynomials. This conjecture encodes the mixed Hodge polynomials of the character varieties of representations…