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OverviewLet $F$ 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. Full Product DetailsAuthor: Stefan PatrikisPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.248kg ISBN: 9781470435400ISBN 10: 1470435403 Pages: 156 Publication Date: 30 May 2019 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction Foundations & examples Galois and automorphic lifting Motivic lifting Bibliography Index of symbols Index of terms and concepts.ReviewsAuthor InformationStefan Patrikis, Princeton University, NJ. Tab Content 6Author Website:Countries AvailableAll regions |
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