2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112761An informal discussion of Serre's conjecture on the modularity of odd irreducible representations of Gal(\bar Q|Q) into GL_2(\bar F_p), using Ramanujan's tau-function as an illustrative example. Also, a word about the importance of thinking locally.Text of two talks at Bangalore, August 2005History and Overviewtext