Arithmetic representations of fundamental groups. II: Finiteness

DOI10.1215/00127094-2020-0086OpenAlexW3122875233MaRDI QIDQ2037873

Daniel Litt

Publication date: 8 July 2021

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03524

zbMATH Keywords

fundamental groupalgebraic geometrynumber theoryanabelian geometryarithmetic geometry

Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11G99) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items

Global aspects of moduli spaces of 2d SCFTs ⋮ Level structure, arithmetic representations, and noncommutative Siegel linearization ⋮ Geometrically irreducible \(p\)-adic local systems are de Rham up to a twist ⋮ Invariance of the tame fundamental group under base change between algebraically closed fields ⋮ Constructing abelian varieties from rank 2 Galois representations ⋮ Volume and symplectic structure for \(\ell\)-adic local systems

Cites Work

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• \(p\)-torsion monodromy representations of elliptic curves over geometric function fields
• Rigidity and a Riemann-Hilbert correspondence for \(p\)-adic local systems
• On different notions of tameness in arithmetic geometry
• Finiteness theorems for abelian varieties over number fields.
• Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang)
• The nonexistence of certain level structures on abelian varieties over complex function fields
• La conjecture de Weil. II
• Galois representations associated to Siegel modular forms of low weight
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Drinfeld shtukas and Langlands correspondence.
• Cohomologically rigid local systems and integrality
• A finiteness theorem for Galois representations of function fields over finite fields (after Deligne)
• Arithmetic representations of fundamental groups. I.
• Generators and relations for the étale fundamental group
• \(\hat{G}\)-local systems on smooth projective curves are potentially automorphic
• Uniform boundedness of level structures on abelian varieties over complex function fields
• Rigid connections and \(F\)-isocrystals
• The p-adic analytic space of pseudocharacters of a profinite group and pseudorepresentations over arbitrary rings
• The dynamical Mordell-Lang problem for etale maps
• POINTS OF FINITE ORDER ON AN ABELIAN VARIETY
• Deformations of Galois Representations
• p-adic interpolation of iterates
• A conjecture on arithmetic fundamental groups

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