Title: An abstract spectral approach to orbit counting
Abstract: One of Selberg's many contributions to hyperbolic geometry is an effective count for the number of (hyperbolic) lattice points lying in a ball of radius T. To do this he used the pretrace formula and estimates on the different spectral components. If, instead of a lattice, one considers a thin group, there is no spectral decomposition, and so one must use softer methods to approach the same problem. In this talk I will present this soft approach, and discuss an application to counting circles in Apollonian packings. I will present joint work with Alex Kontorovich and Dubi Kelmer.
Bei Interesse an einer online-Teilnahme (sei es regelmäßig oder auch nur an einem bestimmten Vortrag) bitten wir vorab mit Tobias Weich oder Benjamin Delarue Kontakt aufzunehmen, damit der Teilnahmelink geteilt werden kann.