Date:	Tue, March 8, 2016
Time:	14:15
Place:	Research I Seminar Room

Abstract: Bartholdi and Nekrashevych's celebrated solution to the twisted rabbit problem paves the way for rich interaction between group theory and holomorphic dynamics. I seek to expand this interaction by giving an algebraic characterization of all postcritical Fatou components (for a fixed rational map) that contain a given repelling fixed point in their boundary. This characterization will then be used to partially answer a conjecture of Pilgrim on the global dynamics of multicurves under preimage of the rational map.