Ambiguity theory, old and new

zbMath1189.11050arXiv0805.2568MaRDI QIDQ3636072

Yves André

Publication date: 30 June 2009

Full work available at URL: https://arxiv.org/abs/0805.2568

zbMATH Keywords

Galois theorydifferential Galois theorymotiveAmbiguity theorymotivic Galois theoryperiods in transcendental number theorysolutions of polynomial equations

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20) Quantum field theory; related classical field theories (81T99) Coverings of curves, fundamental group (14H30) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Transcendence (general theory) (11J81) Differential algebra (12H05) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Relationships between algebraic curves and physics (14H81) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (2)

On the notions of indiscernibility and indeterminacy in the light of the Galois-Grothendieck theory ⋮ The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes

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