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The first official Math Table talk will be on September 18th at 6pm in SC 507. Dinner is provided:
Speaker: Vaughan McDonald
Title: Counting primes and generalizing arithmetic progressions
Abstract: Prime numbers have always been one of the most striking mathematical
curiosities. Much is still not known about primes, but great minds such as Euler and
Riemann were able to extract information about the primes through analytic means,
using what is now called the Riemann zeta function. We will first highlight connections
between primes and the zeta function, culminating in the prime number theorem, which
tells us we can roughly count how many primes there are. We then highlight the
importance of arithmetic progressions, and how they can be used to give the Riemann
hypothesis "on average." Then time permitting, we will discuss two ways of
generalizing arithmetic progressions and highlight some recent research on
their intersection.
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