Prime numbers have intrigued mathematicians, amateur and professional alike, for thousands of years. Some of the most pertinent questions today probably stem from classical times. In this lecture, Dr. Granville will discuss some well-known patterns in the primes and explain some of the latest progress.
Everything around us — everything each of us has ever experienced and virtually everything underpinning our technological society and economy — is governed by quantum mechanics. Yet this most fundamental physical theory of nature often feels like a set of somewhat eerie and counterintuitive ideas of no direct relevance to our lives. Why is this? One reason is that we cannot perceive the strangeness (and astonishing beauty) of the quantum mechanical phenomena all around us by using our own senses.