“Realizability of Branched Covers and Spherical Cone Metrics”

Every branched cover between Riemann surfaces is associated with its branching data, which satisfies certain combinatorics conditions. Hurwitz existence problem asks the question of whether all such data satisfying those constraints can be realized as a branched cover. We connect this problem to the recent development in spherical conical metrics, and give a new criterion of finding unrealizable branching data. As an application, we give various infinite sequences of unrealizable data on the Riemann sphere.

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Informal Geometry & Topology SeminarXuwen Zhu (Stanford)

May 25, 2018

3:00 PM - 4:00 PM

More information available at:

http://mathematics.stanford.edu/informal-geometry-topology/