James Houle, Department of Pure Mathematics, University of Waterloo
"Brun's Sieve and it's applications to the Twin Prime Conjecture"
For hundreds, if not thousands of years, people have been trying to work out whether or not the Twin Prime Conjecture is true. However, it wasn't until the early 1900s when Viggo Brun introduced his sieve that real progress towards the conjecture was made. This talk will introduce Brun's Sieve and use it to show some of the earliest steps that were made towards proving the Twin Prime Conjecture.