|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||A converse theorem of Gross-Zagier and Kolyvagin: CM case|
|Affiliation:||Chinese Academy of Sciences|
|Date:||Thursday, October 26|
|Time/Room:||4:30pm - 5:30pm/S-101|
Let $E$ be a CM elliptic curves over rationals and $p$ an odd prime ordinary for $E$. If the $\mathbb Z_p$ corank of $p^\infty$ Selmer group for $E$ equals one, then we show that the analytic rank of $E$ also equals one. This is joint work with Ashay Burungale.