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.

For the full text, see the German version.

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