Presentation Name: Effective Counting of Saddle Connections
Presenter: Dr. Rene Ruhr
Date: 2018-03-05
Location: 光华东主楼2201
Abstract:

 In 1998, Veech introduced the concept of Siegel measures, bwhich can be utilised to obtain counting statements of holonomy vectors of saddle connection on a generic translation surface under assumption of a spectral gap of the SL2 action and L^2-integrabity of what is now called Siegel-Veech transform. Eskin-Masur showed pointwise asymptotic without the full knowledge of these properties. Combining both works, one may also read of a polynomial error term. (joint with Amos Nevo and Barak Weiss)

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