|Date: Monday, November 20, 2017
Location: 3096 East Hall (4:00 PM to 5:00 PM)
Title: Realizing Thurston maps as subdivision maps
Abstract: A Thurston map is an orientation-preserving branched cover of the 2-sphere with finitely many postcritical points. We are interested in the problem of determining when a Thurston map f (or a sufficiently large iterate of f) is the subdivision map of a finite subdivision rule. Earlier work on this by Bonk-Meyer and by Cannon-Floyd-Parry gave an affirmative answer for sufficiently large iterates of an expanding Thurston map. I'll discuss more recent progress, both for realizability and for nonrealizability. This is joint work with Walter Parry and Kevin Pilgrim.
Speaker: William Floyd
Institution: Virginia Tech