Let E be a CM elliptic curve over a totally real number field F and p an odd ordinary prime. If the p-Selmer group of E over F has ℤp-corank one, we show that the analytic rank of E over F is also 1 (joint with Chris Skinner and Ye Tian). We plan to discuss the setup and strategy.

This talk is a sequel to a talk from the previous year.

This video is part of the Institute for Advanced Study‘s Number theory seminar.