Seminar Calendar
for Joint Group Theory/Differential Geometry/Ergodic Theory events the year of Tuesday, July 10, 2012.

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Thursday, March 8, 2012

Joint Group Theory/Differential Geometry/Ergodic Theory
1:00 pm   in 347 Altgeld Hall,  Thursday, March 8, 2012
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Submitted by jathreya.
Alex Wright (University of Chicago)
Arithmetic and Non-Arithmetic Teichmüller Curves
Abstract: Teichmüller curves are isometrically immersed curves in the moduli space of Riemann surfaces. Their study lies at the intersection of dynamics, Teichmüller theory, and algebraic geometry. I will begin by summarizing known results on Teichmüller curves, pointing out some similarities to the study of lattices, for example in PU(n,1). I will then move on to new research involving abelian square-tiled surfaces, Schwarz triangle mappings, and the Veech-Ward-Bouw-Moller Teichmüller curves.