An EulerKolyvagin system machinery of rank r
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If you have a question about this talk, please contact Tom Fisher.
For a padic Galois representation T, I will devise a
general Euler/Kolyvagin system machinery which as an input takes an
Euler system of rank r (in the sense of PerrinRiou), and gives a
bound on the BlochKato Selmer group in terms of an r x r determinant.
I will give two fundamental applications of this refinement: The first
with the (conjectural) RubinStark elements; and the second with
PerrinRiou’s (conjectural) padic Lfunctions.
This talk is part of the Number Theory Seminar series.
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