Equivariant epsilon conjecture for 1-dimensional Lubin-Tate groups

In this paper we formulate a conjecture on the relationship between the equivariantε-constants (associated to a localp-adic representationVand a finite extension of local fieldsL/K) and local Galois cohomology groups of a Galois stable Z p -latticeTofV. We prove the conjecture forL/Kbeing at most ta...

Full description

Saved in:
Bibliographic Details
Published in:Journal de theorie des nombres de bordeaux 2016-01, Vol.28 (2), p.485-521, Article 485
Main Authors: IZYCHEV, Dmitriy, VENJAKOB, Otmar
Format: Article
Language:English
Subjects:
Algebra
Arithmetic
Homomorphisms
Mathematical rings
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we formulate a conjecture on the relationship between the equivariantε-constants (associated to a localp-adic representationVand a finite extension of local fieldsL/K) and local Galois cohomology groups of a Galois stable Z p -latticeTofV. We prove the conjecture forL/Kbeing at most tamely ramified andTbeing ap-adic Tate module of a one-dimensional Lubin-Tate group defined over Z p by extending the ideas of [4] from the case of the multiplicative group G m to arbitrary one-dimensional Lubin-Tate groups. For the connection to the different formulations of theε-conjecture in [1], [18], [4], [2] and [9], see [19].
ISSN:1246-7405
2118-8572
DOI:10.5802/jtnb.950