Dear Colleagues, we would like to invite you to the following seminar that will take place on January 28 at 14.30. The seminar will be held online via the Zoom platform. ________________________________________________________ Speaker: Christoph Thaele (University of Bochum, Germany)
 Title: Poisson hyperplanes in hyperbolic space 
JANUARY 28 (Friday) - 14:30 Zoom link https://unipd.zoom.us/j/88182977183 (meeting ID 881 8297 7183), available also on the webpage https://www.math.unipd.it/~bianchi/seminari/ Abstract: In the focus of this talk are random tessellations in hyperbolic space induced by Poisson point processes on the space of hyperbolic hyperplanes (totally geodesic subspaces of co-dimension 1). In the first part of the talk we consider the so-called k-skeleton of such tessellations and prove that, when observed in a sequence of increasing observation windows, the k-volume of the k-skeleton satisfies a central limit theorem only for dimensions 2 and 3 and that asymptotic normality fails in all higher dimensions. In the second part of the talk we determine the non-Gaussian limiting distribution for the special case k=d-1 and indicate possible generalizations. On behalf of the organizers, Marco Formentin