2023 Graduate Seminar

Current contact: Irem Altiner and Ross Griebenow -MacLeod

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.

  • Friday March 31, 2023 at 13:00,

    The Birch and Swinnerton-Dyer Conjecture - A Millennial Problem

    Aniruddha Sudarshan

    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.