Resumen de A spectral gap theorem in SU(d)

Jean Bourgain, Alex Gamburd

• We establish the spectral gap property for dense subgroups of SU(d) (d=2 ), generated by finitely many elements with algebraic entries; this result was announced in [BG3]. The method of proof differs, in several crucial aspects, from that used in [BG] in the case of SU(2) .