Quantization of polyhedral surfaces

Polyhedral surfaces play a fundamental role in discrete differential geometry, which studies discretization of surfaces and other smooth geometric objects. This rapidly advancing mathematical discipline finds numerous applications in physics, computer graphics and engineering. The project aims to develop new analytic methods in this area as well as to study quantum fluctuations of classical geometry and to elaborate new geometric approaches to statistical mechanics and quantum field theory. The project brings together leading experts from Australia and Germany and is expected to have a significant impact in pure mathematics, mathematical physics as well as applied areas connected with computational geometry.