University of Cambridge > > Number Theory Seminar > 2-descent for Bloch-Kato Selmer groups and applications

2-descent for Bloch-Kato Selmer groups and applications

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  • UserNetan Dogra (King's College London)
  • ClockTuesday 21 February 2023, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Rong Zhou.

By work of Cassels, Poonen, Schaefer and others, the 2-Selmer group of a hyperelliptic curve C admits an explicit description in terms of the arithmetic of the number fields defined by the polynomial defining C. In this talk, I will describe an analogous explicit arithmetic description of more complicated Selmer groups associated not to abelian varieties but to higher Chow groups. I will also give some applications to determining the set of rational points on hyperelliptic curves of large Mordell—Weil rank.

This talk is part of the Number Theory Seminar series.

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