Hidden Bibliographic Details
| Other authors / contributors: | University of Chicago. degree granting institution.
|
|---|
| ISBN: | 9781321895117
|
|---|
| Notes: | Advisors: Matthew Emerton; Kazuya Kato.
This item must not be sold to any third party vendors.
This item must not be added to any third party search indexes.
Dissertation Abstracts International, Volume: 76-11(E), Section: B.
English
|
|---|
| Summary: | Under hypotheses required for the Taylor-Wiles method, we prove for forms of U(3) which are compact at ∞ that the lattice structure on upper alcove algebraic vectors or on principal series types given by the Hecke-isotypic part of completed cohomology is a local invariant of the Galois representation associated to the Hecke eigensystem when this Galois representation is residually irreducible locally at places dividing p. Crucial ingredients that we establish are mod p multiplicity one results for upper alcove algebraic vectors and principal series types. To prove these results, we combine Hecke theory and weight cycling with the Taylor-Wiles method.
|
|---|
