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Degeneration of the Period Matrix and Shimura-Teichmuller Curves

Holomorphic Differentials in Mathematics and Physics November 18, 2019 - November 22, 2019

November 21, 2019 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Chaya Norton (University of Michigan)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
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Abstract

In joint work with David Aulicino, we show there are no Shimura-Teichmuller curves in genus 5. Together with Moeller's results this completes the classification of Teichmuller curves with completely degenerate Kontsevich-Zorich spectrum. In this talk I hope to highlight the main new technique - a parametric jump problem - with the hope it can be useful to answer other questions.

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