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University Park
Altoona

Thursday, April 24, 2008
5:00 pm, 106 McAllister

Omri Sarig
Penn State University

The horocycle flow and the laplacian on hyperbolic surfaces with
infinite genus

Abstract: Consider a hyperbolic surface which can be partitioned into countably many pairs of pants whose boundary components have lengths bounded from above. We show that there is a canonical bijection between the extremal positive eigenfunctions of the laplacian, and the ergodic invariant Radon measures of the horocycle flow. (Joint with F. Ledrappier)

We meet weekly on Thursday afternoons, with the third meeting of each month in Altoona. If you are interested in giving a talk in our seminar please contact one of the coordinators for the Fall 2007 semester: Young Choi and Aissa Wade.

 

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