Chennai Mathematical Institute

Seminars




2:00 pm, Lecture Hall 5
Heuristics for the distribution of the ranks and Selmer-ranks of elliptic curves

Arul Shankar
Harvard University, USA.
20-07-16


Abstract

We will talk about basic properties of elliptic curves, leading up to Mordell's theorem. We will then discuss heuristics for the distribution of the ranks and Selmer-ranks of elliptic curves. Finally, we will discuss techniques to prove parts of these heuristics.

Note: This is the final lecture in this series of lectures.





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