Hausel, TamasLetellier, EmmanuelRodriguez-Villegas, Fernando2013-03-282013-03-282013-03-28201310.1016/j.aim.2012.10.009https://infoscience.epfl.ch/handle/20.500.14299/90749WOS:000313405200004We study connections between the topology of generic character varieties of fundamental groups of punctured Riemann surfaces, Macdonald polynomials, quiver representations, Hilbert schemes on C-x x C-x, modular forms and multiplicities in tensor products of irreducible characters of finite general linear groups. (C) 2012 Elsevier Inc. All rights reserved.Character varietiesQuiver representationsHilbert schemesRepresentations of finite general linear groupsArithmetic harmonic analysis on character and quiver Varieties IItext::journal::journal article::research article