Event Type
Seminar
Wednesday, March 1, 2023 1:30 PM
Stephanie Chan (SLMath, MSRI)

We expect that a "randomly chosen" elliptic curve almost always has no integral point. We will discuss how this can be proven in certain quadratic or cubic twists families. This is done by studying the set of integral binary quartic or cubic forms that arise from the integral points through a correspondence given by Mordell.