The seminar takes place on Fridays from 1:00 to 2:00pm on the sixth floor of Wachman Hall, and pizza and refreshments are available beforehand (from 12:00 to 1:00pm) in the lounge next door.
In this talk, we look at one of the Clay millennial problems in Mathematics: the BSD conjecture. It connects an algebraic aspect of an elliptic curve with a complex analytic aspect of the L-function of an elliptic curve. We cover some basics of elliptic curves, their group law, and L-functions attached to them. In the end, we talk about some qualitative (probabilistic) results on the elliptic curves for which that BSD conjecture holds. This talk will be as self contained as possible.