4 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…
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…