On ℓ-adic Pro-algebraic and Relative Pro-ℓ Fundamental Groups

DOI10.1007/978-3-642-23905-2_11zbMath1315.14028OpenAlexW1826794731MaRDI QIDQ5259216

Jonathan Paul Pridham

Publication date: 26 June 2015

Published in: The Arithmetic of Fundamental Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-23905-2_11

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items (5)

Nonabelian reciprocity laws and higher Brauer-Manin obstructions ⋮ Galois actions on homotopy groups of algebraic varieties ⋮ Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting ⋮ On the universal ellipsitomic KZB connection ⋮ Quasirationality and prounipotent crossed modules

Cites Work

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• On homotopy theory and c. s. s. groups
• Relative pro-\(\ell \)completions of mapping class groups
• La conjecture de Weil. II
• Hodge cycles, motives, and Shimura varieties
• The algebraic topology of smooth algebraic varieties
• Drinfeld shtukas and Langlands correspondence.
• Galois actions on homotopy groups of algebraic varieties
• The pro-unipotent radical of the pro-algebraic fundamental group of a compact Kähler manifold
• Affine stacks
• Etale homotopy
• Théorie de Hodge. II. (Hodge theory. II)
• Towards non–abelian 𝑝–adic Hodge theory in the good reduction case
• Etale Homotopy of Simplicial Schemes. (AM-104)
• Fourier transforms and $p$-adic ‘Weil II’
• Pro-algebraic homotopy types
• Algebraic and topological aspects of the schematization functor
• Weight decompositions on étale fundamental groups
• Completions of mapping class groups and the cycle $C - C^-$
• Infinitesimal presentations of the Torelli groups
• The hodge de rham theory of relative malcev completion1
• Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P¹- {0,1, ∞}
• Comparison isomorphisms for smooth formal schemes

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