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Teichmuller curves mod $p$

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Speaker: 
Ronen Mukamel
Affiliation: 
Rice University, Houston
Date: 
Tue, 2018-07-03 14:00 - 14:50
Location: 
MPIM Lecture Hall

A Teichmuller curve is a totally geodesic curve in the moduli space of Riemann surfaces. These curves are defined by polynomials with integer coefficients which are irreducible over $\mathbb C$. We will show that these polynomials have surprising factorizations mod $p$.  This is joint work with Keerthi Madapusi Pera.

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