Expanders, Group Theory, Arithmetic Geometry, Cryptography and Much More

Tue, Apr 6, 2010
This is a lecture given on the occasion of the launch of the PIMS CRG in "L-functions and Number Theory". The theory of expander graphs is undergoing intensive development. It finds more and more applications to diverse areas of mathematics. In this talk, aimed at a general audience, I will introduce the concept of expander graphs and discuss some interesting connections to arithmetic geometry, group theory and cryptography, including some very recent breakthroughs.

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