Saturday Morning Plenary Lecture:

"Finding Patterns in Primes"

Abstract:
One of the oldest topics in mathematics is that of additive prime number theory - finding additive patterns in the prime numbers, such as twins p, p+2, or arithmetic progressions. Despite centuries of important progress on these problems, though, many of the oldest conjectures (such as the twin prime conjecture) remain open except for partial results. In this talk, we give an introduction to the techniques used (mostly from the field of analytic number theory) to attack these problems.