Analytic Continuation of Analytic Fractals

Analysis Seminar
Wednesday, June 24, 2015 - 3:00pm
1 hour (actually 50 minutes)
Skiles 005
Mathematical Sciences Institute, Australian National University
Examples of analytic fractals are Julia sets, Koch Curves, and Sierpinski triangles, and graphs of analytic functions. Given a piece of such a set, how does one "continue" it, in a manner consistent with the classical construction of an analytic Riemannian manifold, starting from a locally convergent series expansion?