Variations on a Theorem of Tate

Released on by Stefan Patrikis
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  • Variations on a Theorem of Tate Book Detail

  • Author : Stefan Patrikis
  • Release Date : 2019-04-10
  • Publisher : American Mathematical Soc.
  • Genre : Algebraic number theory
  • Pages : 156
  • ISBN 13 : 1470435403
  • File Size : 42,42 MB
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Variations on a Theorem of Tate by Stefan Patrikis PDF Summary

Book Description: 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 Gal(F¯¯¯¯/F)→PGLn(C) lift to GLn(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-ℓ) questions for abstract Galois representations.

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Variations on a Theorem of Tate

Variations on a Theorem of Tate

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Let F be a number field. These notes explore Galois-theoretic, automorphic, and motivic analogues and refinements of Tate's basic result that continuous project