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Lecture 1: Recent Progress in Additive Prime Number Theory

4:00 p.m., Tuesday, 10 November 2009 – 129 McKenzie

Abstract: Additive prime number theory is the study of additive patterns in the primes. We survey some recent advances in this subject, including the results of Goldston, Pintz, and Yildirim on small gaps between primes, the results of Green and myself on arithmetic progressions in the primes, and the results of Bourgain, Gamburd, and Sarnak for detecting almost primes in orbits.