Vol. 9, No. 2, 2015

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ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Semistable periods of finite slope families

Ruochuan Liu

Vol. 9 (2015), No. 2, 435–458

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 semistable (and crystalline) periods for such families.

finite slope families, semistable, $(\varphi,\Gamma)$-modules
Mathematical Subject Classification 2010
Primary: 11F80
Received: 11 February 2014
Revised: 9 December 2014
Accepted: 14 January 2015
Published: 5 March 2015
Ruochuan Liu
Beijing International Center for Mathematical Research
Peking University
Beijing, 100871