BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Geometrization of branched coverings of the sphere and decidability of Thurston equivalence Yampolsky, Michael


I will discuss a recent result obtained jointly with M. Braverman and S. Bonnot on the algorithmic decidability of the question whether a postcritically finite branched covering map of the 2-sphere is Thurston equivalent to a rational map. I will further describe the connection of the general question of algorithmic decidability of Thurston equivalence with geometrization of branched coverings, and will present a new theo- rem joint with N. Selinger on an algorithmic construction of a canonical geometrization of a branched covering.

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