Colloquium
3:30 p.m., Friday
Math 100
Greg Martin
University of Toronto
The Distribution of Primes: What we know, and how
This survey, intended for nonspecialists, will describe our current
knowledge of the distribution of prime numbers in various contexts
(such as arithmetic progressions, values of polynomials, short intervals,
and twin primes) and will compare it to the conjectured truth. Despite
valiant efforts by over a century's worth of analytic number theorists,
many of these conjectures still seem far out of reach. As we mention
each conjecture and its related partial results, we will also describe how
tools from other disciplines (such as complex function theory,
combinatorics, and harmonic analysis) can be brought to bear on these
numbertheoretic problems.
