Hyperbolic Counting and EquidistributionMPIM

by Marios Voskou (MPIM)

Wednesday Jul 16, 2025, 2:30 PM → 3:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Number theory lunch seminar 

In Euclidean space, the Gauss Circle Problem concerns estimating the number of lattice points inside a Euclidean circle. In this talk, we examine analogous problems in the hyperbolic plane, approached through the lens of the spectral theory of automorphic forms. We also highlight arithmetic applications, particularly the distribution of ideals in number fields.