Dynamical Systems Seminar

Title: The horocycle flow on strata of translation surfaces
Speaker: Kathryn Lindsey
Speaker Info: University of Chicago
Brief Description:
Special Note:

A translation surface is a geometric surface made from a finite collection of Euclidean polygons by gluing the edges of the polygons together according to a specific set of rules. An element of SL2R acts on a translation surface by affinely stretching each of the polygons that makes up the surface, resulting in a new surface. The horocycle flow is the action of the one-parameter subgroup consisting of unipotent upper triangular matrices. How is the orbit of a translation surface under the horocycle flow related to the orbit of that surface under all of SL2R? It turns out that for any translation surface, after first rotating the surface by almost any angle, the horocycle orbit closure equals the SL2R orbit closure! This result leads to several new characterizations of lattice surfaces (surfaces whose SL2R orbits are closed). This talk is based on joint work with Jon Chaika.
Date: Tuesday, April 07, 2015
Time: 4:00pm
Where: Lunt 104
Contact Person: Diana Davis
Contact email: diana@math.northwestern.edu
Contact Phone:
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