Semistable periods of finite slope families

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.

final version

References in corpus (1)

• $p$-adic Hodge theory in rigid analytic families

Cited by in corpus (2)

• $p$-adic Hodge theory in rigid analytic families
• Interpolating Hodge-Tate and de Rham Periods