Research report 2005 - Max Planck Institute for Mathematics
Geodesics in hyperbolic space and number theory
Authors
Petridis, Yiannis
Departments
Mathematik
MPI für Mathematik, Bonn
Summary
Geometry studies geodesics in various settings, in particular on hyperbolic surfaces. The distribution of geodesics on arithmetic hyperbolic surfaces gives information on the arithmetic of quadratic forms, an important branch of number theory.