Statistics of elliptic fibrations

Zoom Online Meeting ID: 919 6497 4060
For password see the email or contact Pieter Moree (moree@mpim...).

For an elliptic surface over Q, viewed as a one-parameter family of elliptic curves, what can we say about the variation of ranks, Selmer groups, etc? The goal is this talk is to report a partial result (on progress) concerning certain non-linear families of quadratic twists of an elliptic curve, and then sketch some ideas and questions.