Thurston obstructions and the dynamics on curves

Thurston obstructions and the dynamics on curves

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Mario Bonk, University of California, Los Angeles

*Please note the change in time*

Zoom link: https://princeton.zoom.us/j/594605776

A Thurston map is a branched covering map on a topological 2-sphere for which the forward orbit of each critical point under iteration is finite.  Thurston raised the question when such a map can  be realized by a rational map (in a suitable sense). He translated this question to a fixed point problem on a Teichmüller space, and found a necessary and sufficient in terms of the dynamics of curves under pullback by the map.

In my talk I will report on some recent joint work in this area with Annina Iseli and Misha Hlushchanka.