Math Graduate Student Seminar

The translation flow on holomorphic maps out of the poly-plane

Dmitri Gekhtman, Department of Mathematics, Caltech,

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 parabolic subgroup of PSL_2(\R).

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