Degeneration of the Period Matrix and Shimura-Teichmuller Curves
Location: MSRI: Simons Auditorium
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.