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Growth of p-Selmer groups of elliptic curves in cyclic extensions

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  • UserJulio Brau, University of Cambridge
  • ClockFriday 30 November 2012, 14:00-15:00
  • HouseMR4.

If you have a question about this talk, please contact Joanna Fawcett .

One fundamental invariant of an elliptic curve E is its Mordell-Weil rank, and there are many open questions and fascinating conjectures surrounding it. I will try to motivate the study of Selmer groups of elliptic curves, as well as talk about why they help us better understand ranks. After that I will discuss some results on the growth of Selmer ranks in certain cyclic extensions of number fields.

This talk is part of the Junior Algebra and Number Theory seminar series.

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