Conformal laminations and trees
SPEAKER | Steffen Rohde
DATE | May 8(Mon), 2017
TIME | 14:50
PLACE | 1503
ABSTRACT | Conformal maps ff of the unit disc DD have a continuous extension to the circle if (and only if) the boundary of the image f(D)f(D) is locally connected. This extension induces an equivalence relation on the circle by declaring that x¡yx¡y if f(x)=f(y).f(x)=f(y). Which equivalence relations on the circle arise in this way? After a brief discussion of the history and motivation, I will present a characterization under the additional assumption that f(D)f(D) is a John domain whose complement has empty interior.