Ye Tian: A converse theorem of Gross-Zagier and Kolyvagin: CM case

26th October, 2017
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Let E be a CM elliptic curve over the rationals and p an odd prime ordinary for E. If the ℤp-corank of p∞ Selmer group for E equals 1, then we show that the analytic rank of E also equals 1. This is joint work with Ashay Burungale.

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