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On Quadratic Twists of Elliptic Curves

Shimura Varieties and L-Functions March 13, 2023 - March 17, 2023

March 15, 2023 (09:00 AM PDT - 10:00 AM PDT)
Speaker(s): Ye Tian (Academy of Mathematics and Systems Science)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords

  • elliptic curve

  • quadratic twist

  • arithmetic Rallies inner product formula

  • Gross-Zagier formula

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

We discuss 2-Selmer groups and L-values of elliptic curves under quadratic twists. This is based on joint works with Pan and with He-Xiong.
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