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

Pop, Florian

doi:10.1007/s00222-019-00855-8

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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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https://doi.org/10.1007/s00222-019-00855-8
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Citation

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: https://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.