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Journal Article

Finite tripod variants of I/OM : On Ihara’s question/Oda–Matsumoto conjecture

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Pop,  Florian
Max Planck Institute for Mathematics, Max Planck Society;

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Pop, F. (2019). Finite tripod variants of I/OM: On Ihara’s question/Oda–Matsumoto conjecture. Inventiones Mathematicae, 216(3), 745-797. doi:10.1007/s00222-019-00855-8.


Cite as: http://hdl.handle.net/21.11116/0000-0004-6ADC-E
Abstract
In this note we introduce and prove a wide generalization and sharpening of Ihara’s question / Oda–Matsumoto conjecture, for short I/OM. That leads to a quite concrete topological/combinatorial description of absolute Galois groups, in particular of Gal_Q=Aut(Q), as envisioned by Grothendieck in his Esquisse d’ un Programme.