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Speaker:
Andrzej Dabrowski
Affiliation:
University of Szczecin
Date:
Wed, 22/05/2019 - 14:30 - 15:30
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar We plan to discuss numerical results and conjectures concerning orders of Tate-Shafarevich groups in
families of quadratic twists of elliptic curves, families of elliptic curves of Neumann-Setzer type and
families of cubic twists of X_0(27). We will give examples of elliptic curves with exceptionally large
orders of Tate-Shafarevich groups. We also calculate hypothetical orders of Tate-Shafarevich groups
for some quadratic twists of Gross curves. This is a joint work with Tomasz Jedrzejak and Lucjan
Szymaszkiewicz.
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