Fundamental groups of moduli and the Grothendieck-Teichmüller group

DOI10.1090/S0002-9947-00-02347-3zbMath0956.14013MaRDI QIDQ4955724

David Harbater, Leila Schneps

Publication date: 22 May 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

braid groupouter automorphismsGrothendieck-Teichmüller groupalgebraic fundamental groupmoduli space of Riemann spheres

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items (8)

The automorphism groups of the profinite braid groups ⋮ Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting) ⋮ Little survey on I/OM and its variants and their relation to (variants of) \(\widehat{GT}\) -- old \& new ⋮ On the combinatorial cuspidalization of hyperbolic curves ⋮ Finite tripod variants of I/OM. On Ihara's question/Oda-Matsumoto conjecture ⋮ Automorphisms of procongruence curve and pants complexes ⋮ On a geometric description of \(\text{Gal}(\bar{\mathbb Q}_p/\mathbb Q_p)\) and a \(p\)-adic avatar of \(\widehat{GT}\) ⋮ A motivic Grothendieck-Teichmüller group

Cites Work

• Profinite braid groups, Galois representations and complex multiplications
• On the stable derivation algebra associated with some braid groups
• Étale Galois covers of affine smooth curves. The geometric case of a conjecture of Shafarevich. On Abhyankar's conjecture
• Fields of definition of function fields and hurwitz families — groups as galois groups
• Varieties Which are almost D -Affine
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