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Seminar

ES Program Research Seminar: A Function Field Analog of Kolyvagin System March 07, 2023 (02:00 PM PST - 03:00 PM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Wei Zhang (Massachusetts Institute of Technology)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

ES Program Research Seminar: A Function Field Analog Of Kolyvagin System

Abstract/Media

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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.

 

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ES Program Research Seminar: A Function Field Analog Of Kolyvagin System