Decidability of Thurston equivalence

When

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

Where

Campbell Hall 443

Speaker

Dr. Nikita Selinger, UAB Math. Department

Abstract

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.