VARIATIONS ON A THEOREM OF TATE

VARIATIONS ON A THEOREM OF TATE

Editorial:
AMS (AMERICAN MATHEMATICAL SOCIETY)
Año de edición:
Materia
Matematicas
ISBN:
978-1-4704-3540-0
Páginas:
156
N. de edición:
1
Idioma:
Inglés
Disponibilidad:
Disponible en 2-3 semanas

Descuento:

-5%

Antes:

92,50 €

Despues:

87,88 €

Introduction
Foundations & examples
Galois and automorphic lifting
Motivic lifting
Bibliography
Index of symbols
Index of terms and concepts.

Let $F$ be a number field. These notes explore Galois-theoretic, automorphic, and motivic analogues and refinements of Tate's basic result that continuous projective representations $\mathrm{Gal}(\overline{F}/F) \to \mathrm{PGL}_n(\mathbb{C})$ lift to $\mathrm{GL}_n(\mathbb{C})$. The author takes special interest in the interaction of this result with algebraicity (for automorphic representations) and geometricity (in the sense of Fontaine-Mazur). On the motivic side, the author studies refinements and generalizations of the classical Kuga-Satake construction. Some auxiliary results touch on: possible infinity-types of algebraic automorphic representations; comparison of the automorphic and Galois ``Tannakian formalisms'' monodromy (independence-of-$\ell$) questions for abstract Galois representations.

Author
Stefan Patrikis, Princeton University, NJ.