|Location:||MSRI: Simons Auditorium, Online/Virtual|
ES Program Research Seminar: A Function Field Analog Of Kolyvagin System
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We present a function field analog of Kolyvagin system to bound the Selmer rank of an elliptic curve. With the higher order Gross-Zagier formula proved in our previous work we can deduce a p-converse theorem in the rank one case in full generality. Joint work with Zhiwei Yun.