Monday, April 17
Milner 216, 3:00 PM
Title: Computations on the Mazur-Tate conjecture
Abstract: On their article "Refined Conjectures of the Birch Swinnerton-Dyer type," B. Mazur and J. Tate presented a series of conjectures of BSD type over finite layers. These conjectures were presented on the general setting of Abelian Varieties. Also, in the same article, a few examples of elliptic curves were included as empirical evidence in favor of the conjectures. We will explain in more detail the form of the conjectures in the case of elliptic curves, and we will present a broad amount of examples in different cases of reduction.