This Edited Volume is based on a workshop on “Mathematical and Physical Aspects
of Quantum Gravity” held at the Heinrich-Fabri Institute in Blaubeuren
(Germany) from July 28th to August 1st, 2005. This workshop was the successor
of a similar workshop held at the same place in September 2003 on the issue
of “Mathematical and Physical Aspects of Quantum Field Theories”. Both workshops
were intended to bring together mathematicians and physicists to discuss
profound questions within the non-empty intersection of mathematics and physics.
The basic idea of this series of workshops is to cover a broad range of different
approaches (both mathematical and physical) to a specific subject in mathematical
physics. The series of workshops is intended, in particular, to discuss the basic
conceptual ideas behind different mathematical and physical approaches to the
subject matter concerned.