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Grothendieck-Teichmuller Groups in the Combinatorial Anabelian Geometry

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Grothendieck-Teichmller Groups, Deformation and Operads

By a result of Harbater and Schneps, the Grothendieck-Teichmuller groups may be regarded as natural objects in the study of the combinatorial anabelian geometry. In this talk, we discuss some results on the Grothendieck-Teichmuller groups that relate to the phenomenon of the tripod synchronization. In particular, I explain the surjectivity of the tripod homomorphism and a non-surjectivity result on the combinatorial cuspidalization.

This talk is part of the Isaac Newton Institute Seminar Series series.

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