Periodic Points on Veech Surfaces
星期五, 20 五月, 2022 - 从 10:30 到 11:30
A non-square-tiled Veech surface has finitely many periodic points, i.e. points with finite orbit under the whole affine automorphism group. We first present an algorithm that, when given a non-square-tiled Veech surface as input, outputs its set of periodic points. We then describe upcoming work that uses this algorithm to prove that Prym eigenforms in the minimum stratum in genus 2, 3 and 4 do not have periodic points, except for the fixed points of the Prym involution. This work is with Zawad Chowdury, Samuel Everett and Destine Lee.
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