Seminar Calendar
for events the day of Thursday, March 8, 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.

Graduate Geometry and Topology Seminar
2:00 pm   in 241 Altgeld Hall,  Thursday, March 8, 2012
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Submitted by lukyane2.
Sarah Yeakel (Department of Mathematics, University of Illinois at Urbana-Champaign)
Spectra
Abstract: I'll define spectra with motivation from homotopy theory, explain why they form a nicer category than topological spaces, and talk about how they are useful tools in pretty much any setting with a (co)homology theory.

Mathematics Colloquium --Trjitzinsky Memorial Lectures
4:00 pm   in 245 Altgeld Hall,  Thursday, March 8, 2012
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Submitted by kapovich.
Robert Ghrist (University of Pennsylvania)
Sheaves and the Global Topology of Data, Lecture III
Abstract: This lecture series concerns Applied Mathematics -- the taming and tuning of mathematical structures to the service of problems in the sciences. The Mathematics to be harnessed comes from algebraic topology -- specifically, sheaf theory, the study of local-to-global data. The applications to be surveyed are in the engineering sciences, but are not fundamentally restricted to such. Beginning with a gentle introduction to algebraic topology and its modern applications, the series will focus on sheaves and their recent utility in sensing, coding, optimization, and inference. No prior exposure to sheaves required.