Decidability of Thurston equivalence


October 5, 2018 | 2:30 - 3:30 p.m.


Campbell Hall 443


Dr. Nikita Selinger, UAB Math. Department


In the early 1980’s Thurston proved a prominent theorem in the field of Complex Dynamics. His characterization theorem provides a topological criterion of whether a given Thurston map (i.e. a topological map with finite combinatorics) can be realized by a rational map. In a joint work with M. Yampolsky and K. Rafi, we produce an algorithm of checking whether two Thurston maps are equivalent.