Computational Algebra Seminar: Watkins -- Heuristics for elliptic curves

Speaker: Mark Watkins
Title: Heuristics for elliptic curves
Venue: Carslaw 535
Date & Time: Thursday 7 December, 3-4pm

Abstract:
We use random matrix theory to give heuristics for the moments
of L-values of elliptic curves, and via a BSD-based discretisation
proceed to estimate the number of elliptic curves (up to X)
with rank 2. We discuss the difference between various ways of
ordering the elliptic curves, and present some computational data
related the heuristics we derive.