Deformation Theory and Local-Global Compatibility of Langlands Correspondences

Martin Luu (Autor)

Buch | Softcover

101 Seiten

2015
American Mathematical Society (Verlag)
978-1-4704-1422-1 (ISBN)

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The deformation theory of automorphic representations is used to study local properties of Galois representations associated to automorphic representations of general linear groups and symplectic groups. In some cases this allows to identify the local Galois representations with representations predicted by a local Langlands correspondence.

Martin Luu, Stanford University, CA, USA.

Introduction
Preliminaries
Local-global compatibility for Hilbert modular forms
Local-global compatibility results via crystalline periods
Local semi-simplifications: The case of general linear groups
Local semi-simplifications: The case of symplectic groups
Congruences
Local monodromy operators: The case of general linear groups
Local monodromy operators: The case of symplectic groups
Bibliography
Index

Erscheinungsdatum	09.12.2015
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	250 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	1-4704-1422-8 / 1470414228
ISBN-13	978-1-4704-1422-1 / 9781470414221
Zustand	Neuware