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arXiv · 1301.3976

Semistable periods of finite slope families

Ruochuan Liu
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Abstract

We introduce the notion of finite slope families to encode the local properties of the p-adic families of Galois representations appearing in the work of Harris, Lan, Taylor and Thorne on the construction of Galois representations for (non-self dual) regular algebraic cuspidal automorphic representations of GL(n) over CM fields. Our main result is to prove the analytic continuation of semi-stable (and crystalline) periods for such families.

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Ruochuan Liu. 2015-09-17. Semistable periods of finite slope families. https://doi.org/10.2140/ant.2015.9.435

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