# Workshop on Mathematical and Physical Aspects of Quantum Gravity

This workshop on "Mathematical and Physical Aspects of Quantum Gravity" is the follow-up to the first Blaubeuren workshop in 2003. The idea of this series of meetings is to spark a discussion between mathematicians and physicists proposing different approaches to a particular topic. In view of this goal, emphasis is put on a broad view on the topic rather than on latest results or technicalities. The concept of the workshop is such that the morning lectures will outline the status quo and describe the main achievements while the afternoon lectures will focus on open problems and more speculative material.

The 2005 Workshop is dedicated to the syntactical and semantic meaning of the term "Quantum Gravity". It seems fair to say that this notion is not yet well-defined. However, there are different mathematical and physical approches to make this notion more precise. A gathering of experts from some of these approches will provide an opportunity to push forward questions like: What are the mathematical tools, physical intentions, prejudices, preconceptions, and expectations in the area of quantum gravity? Do we have a clear understanding of what we mean by this term?

The workshop will focus on discussing string theory, quantization of gravity as described by Wheeler De Witt, loop quantum gravity (including higher categorial structures and topoi) and non-commutative geometry. Each of these fields has its merits and shortcomings and each is physically motivated by its own philosophy and mathematical tools. By bringing together the different perspectives of these approaches we hope to facilitate new insights and a fresh look at both old and new questions in the area of quantum gravity. The expected experimental effects of quantum gravity will also be discussed.

The number of talks is restricted to 5 to 6 per day, presented by distinguished experts in the respective fields. Since one of the express aims of the workshop is to stimulate discussion across the different fields represented, speakers are asked to deliver review-like talks with a perspective to facilitate open discussion in the plenum. We are proud to say that the last, 2003 workshop ended with an extraordinarily lively and stimulating 1 1/2 hour discussion! Drawing on the expertise and the interactive spirit of the workshop participants we expect a similar atmosphere with open and fruitful discussions during the 2005 workshop.

## Modalities

- Participation is by invitation only. If you are interested, please contact the organizers (see email addresses above, or use the registration link below. It is intended to provide substantial financial support.
- The total number of participants is restricted to 40, there will be slots for about 15 - 18 talks. Participants who do not deliver a talk are still expected to actively join the discussions.
- Each talk is scheduled at 1 hour including sufficient time for extensive discussions.
- Production of proceedings volume are intended, if possible including the contents of the discussion