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Livio Flaminio: Abelian covers of hyperbolic surfaces: equidistribution of spectra and infinite mixing asymptotics for horocycle flows

Time: Thu 2022-01-27 13.00

Location: Location: Zoom meeting ID: https://kth-se.zoom.us/j/61173989405

Participating: Livio Flaminio (University of Lille)

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We establish an asymptotic expansion of the correlations for the horocycle flow on Abelian covers of compact hyperbolic surfaces. We also prove that the spectra around $0$ of the Casimir operators on any increasing sequence of finite Abelian covers become equidistributed with respect to an absolutely continuous measure. Joint work with D. Ravotti (Wien).