The Tao of Mathematics, and Think Locally

Mathematics – History and Overview

Scientific paper

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Text of two talks at Bangalore, August 2005

Scientific paper

An 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.

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