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Variations on a Theorem of Tate
Seiten
2019
American Mathematical Society (Verlag)
978-1-4704-3540-0 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-3540-0 (ISBN)
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.
Stefan Patrikis, Princeton University, NJ.
Introduction
Foundations & examples
Galois and automorphic lifting
Motivic lifting
Bibliography
Index of symbols
Index of terms and concepts.
Erscheinungsdatum | 02.03.2019 |
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Reihe/Serie | Memoirs of the American Mathematical Society |
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 248 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 1-4704-3540-3 / 1470435403 |
ISBN-13 | 978-1-4704-3540-0 / 9781470435400 |
Zustand | Neuware |
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Buch | Softcover (2015)
Springer Vieweg (Verlag)
37,99 €