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Marissa Loving, Zoom: Covers and Curves
Monday, October 19, 2020, 02:00pm - 03:00pm
It is a celebrated result of Scott that every closed curve on a hyperbolic surface lifts to a simple closed curve on some finite cover. In light of this work, we pose the following question, What information about two covers X and Y of S can be derived by understanding how curves on S lift simply to X and Y? In this talk, we will motivate this question and explore its answer for regular finite covers of a closed hyperbolic surface. This work is joint with Tarik Aougab, Max Lahn, and Yang (Sunny) Xiao.
Location: Zoom

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