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SUMMARY:2-descent for Bloch-Kato Selmer groups and applications - Netan Do
 gra (King's College London)
DTSTART:20230221T143000Z
DTEND:20230221T153000Z
UID:TALK195367@talks.cam.ac.uk
CONTACT:Rong Zhou
DESCRIPTION:By work of Cassels\, Poonen\, Schaefer and others\, the 2-Selm
 er group of a hyperelliptic curve C admits an explicit description in term
 s of the arithmetic of the number fields defined by the polynomial definin
 g C. In this talk\, I will describe an analogous explicit arithmetic descr
 iption of more complicated Selmer groups associated not to abelian varieti
 es but to higher Chow groups. I will also give some applications to determ
 ining the set of rational points on hyperelliptic curves of large Mordell-
 -Weil rank.
LOCATION:MR13
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