Geometry and Topology Seminar

Series: Geometry and Topology Seminar Series

Translation flow on holomorphic maps out of the poly-plane

Dmitri Gekhtman, Department of Mathematics, California Institute of Technology,

We study the family of holomorphic maps from the polydisk to the disk which restrict to the identity on the diagonal. In particular, we analyze the asymptotics of the orbit of such a map under the conjugation action of a unipotent subgroup of PSL_2(R). We discuss an application of our results to the study of the Caratheodory metric on Teichmuller space.

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