In this paper we will give the character table of the irreducible rational representations of G=SL (2, q) where q= , p prime, n>O, by using the character table and the Schur indices of SL(2,q).

We establish P=W and PI=WI conjectures for character varieties with structural group GL n SL which admit a symplectic resolution, i.e., genus 1 arbitrary rank, 2 rank 2. formulate the conjecture prove it resolutions. exploit topology of birational quasi-étale modifications Dolbeault moduli spaces Higgs bundles. To this end, we auxiliary results independent interest, like construction relative c...