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Regulator maps and Iwasawa theory over Zp^2 extensions

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In the Iwasawa theory of p-adic Galois representations over the cyclotomic tower, a key role is played by Perrin-Riou’s regulator or dual exponential map (particularly for non-ordinary Galois representations). I will describe a generalisation of this map to Iwasawa theory for certain towers of extensions whose Galois groups are abelian p-adic Lie groups of dimension 2, and some applications of this construction to Galois representations arising from modular forms. This is a joint project with Sarah Zerbes.

This talk is part of the Number Theory Seminar series.

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