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*
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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.听 Thurston raised the question when such a map can听听be realized by a rational map (in a suitable听sense). He translated this question to a fixed point problem on a Teichm眉ller 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. 听