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William Duke - The distribution of modular closed geodesics revisited.

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December 15, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday.

(Joint with O. Imamoglu and A. Toth) I will describe some recent work on an apparently overlooked $PSL(2,\Z)$ equidistribution problem, namely that for positive fundamental discriminants that can be written as the product of two co-prime negative discriminants. The geometric interpretation of this case is rather different than the usual equidistribution of modular closed geodesics.

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