The 1996 NATO Advanced Study Institute (ASI) followed the international tradi tion of the schools held in Cargese in 1976, 1979, 1983, 1987 and 1991. Impressive progress in quantum field theory had been made since the last school in 1991. Much of it is connected with the interplay of quantum theory and the structure of space time, including canonical gravity, black holes, string theory, application of noncommutative differential geometry, and quantum symmetries. In addition there had recently been important advances in quantum field theory which exploited the electromagnetic duality in certain supersymmetric gauge theories. The school reviewed these developments. Lectures were included to explain how the "monopole equations" of Seiberg and Witten can be exploited. They were presented by E. Rabinovici, and supplemented by an extra 2 hours of lectures by A. Bilal. Both the N = 1 and N = 2 supersymmetric Yang Mills theory and resulting equivalences between field theories with different gauge group were discussed in detail. There are several roads to quantum space time and a unification of quantum theory and gravity. There is increasing evidence that canonical gravity might be a consistent theory after all when treated in. a nonperturbative fashion. H. Nicolai presented a series of introductory lectures. He dealt in detail with an integrable model which is obtained by dimensional reduction in the presence of a symmetry."

Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed.

The 1996 NATO Advanced Study Institute (ASI) followed the international tradi tion of the schools held in Cargese in 1976, 1979, 1983, 1987 and 1991. Impressive progress in quantum field theory had been made since the last school in 1991. Much of it is connected with the interplay of quantum theory and the structure of space time, including canonical gravity, black holes, string theory, application of noncommutative differential geometry, and quantum symmetries. In addition there had recently been important advances in quantum field theory which exploited the electromagnetic duality in certain supersymmetric gauge theories. The school reviewed these developments. Lectures were included to explain how the "monopole equations" of Seiberg and Witten can be exploited. They were presented by E. Rabinovici, and supplemented by an extra 2 hours of lectures by A. Bilal. Both the N = 1 and N = 2 supersymmetric Yang Mills theory and resulting equivalences between field theories with different gauge group were discussed in detail. There are several roads to quantum space time and a unification of quantum theory and gravity. There is increasing evidence that canonical gravity might be a consistent theory after all when treated in. a nonperturbative fashion. H. Nicolai presented a series of introductory lectures. He dealt in detail with an integrable model which is obtained by dimensional reduction in the presence of a symmetry."

Kurt Symanzik was certainly one of the most outstanding theoretical physicists of our time. For thirty years, until his untimely death in 1983, he helped to shape the present form of quantum field theory and its application to elementary particle physics. In memoriam of Kurt" Symanzik leading scientists present their most recent results, giving, at the same time, an overview of the state of the art. This collection was originally published in Vol. 97, 1/2 (1985) of Communications in Mathematical Physics. They range over various inter related topics of interest to Kurt Symanzik. We hope that making this collection available in an accessible and inexpensive way will benefit the physics community. The Publisher Contents To the Memory of Kurt Symanzik 1 By A. Jaffe, H. Lehmann, and G. Mack Monte Carlo Simulations for Quantum Field Theories Involving Fermions. By M. Karowski, R. Schrader, and H. J. Thun (With 8 Figures) . . . . . . . . . . . . . . . . . . . 5 SU(2) Lattice Gauge Theory: Standard Action Versus Symanzik's Tree-Improved Action. By B. Berg, A. Billoire, S. Meyer, and C. Panagiotakopoulos (With 13 Figures). . . . . . . . . . 31 . On-shell Improved Lattice Gauge Theories By M. Luscher and P. Weisz (With 3 Figures) . . . . . 59 On the Modular Structure of Local Algebras of Observables By K. Fredenhagen . . . . . . . . . . . . . . . . . 79 . . . The Intersection of Brownian Paths as a Case Study of a Renormalization Group Method for Quantum Field Theory By M. Aizenman (With 3 Figures). . . . . . . . . . . . 91 Intersection Properties of Simple Random Walks: A Renormalization Group Approach. By G. Felder and J. Frohlich. . . . . . . 111 ."

The Elbphilharmonie is Hamburg’s new landmark and is already an icon of contemporary architecture. In this book, Herzog & de Meuron document their project: extensive archive material, plans, and photographs are used to illustrate the process of the creation of this once-in-a-hundred-years building from the first sketch and the various design stages with their many challenges, through to completion of the finished building. The dialog between historical brick plinth and contemporary glass crystal, the combination of different functions, the development of the spectacular large concert hall, the design of a public plaza for the population are just some of the many aspects that contribute to the attractiveness of the building.

Since its founding in 1989, the office of Gigon/Guyer architects has designed a truly impressive series of projects. Among the most important are museum, residential, and office buildings, as well as mixed-use constructions. The recently completed Prime Tower and its annex buildings on the Maag site in Zurich have been internationally acclaimed. The monograph offers keen insight into how Annette Gigon and Mike Guyer understand architecture. The diverse concepts and the varied applications of design, material, form, and color employed in their projects are presented in detailed documentation of their work that includes photography, plans, and short texts. Three essays and a discussion between Patrick Gmur, Martin Steinmann, and the architects offer in-depth reflection and contextualization.

Jacques Herzog & Pierre de Meuron (with their partners Harry Gugger and Christine Binswanger) undoubtedly rank amongst the leading architects worldwide. Volume 3 of their Complete Works is now being published in an updated new edition, enlarged by some 40 pages and approximately 80 colour illustrations. At the time of the first edition, a number of the projects were under construction. These have now been completed and are documented with photographs: the Laboratory Building of Hoffmann-La-Roche in Basel, the Project in the City Center "Five Courtyards" in Munich, the St. Jakob Football Stadium in Basel and the residential buildings on the Rue des Suisses in Paris.

The long-awaited fifth volume on The Complete Works of Herzog & de Meuron presents the sixty projects completed between 2002 and 2004 with characteristic attention to detail. These include buildings that have already become contemporary architectural icons, such as the National Stadium in Beijing and the Elbphilharmonie in Hamburg, but also projects which, though never realized, have influenced the architectural discourse. These include the residential tower for the Schatzalp Hotel, which overlooks Davos and inspired a new generation of Alpine architecture. In the period covered by this volume, urban planing was a major focus of Herzog & de Meuron's work. International acclaim fueled by booming construction led to numerous commissions in China (the Jindong New Development Area), and in Europe: master plans for Jerez de la Frontera and the Olympic Games in London opened up entire urban regions to future development.

The Elbphilharmonie is Hamburg's new landmark and is already an icon of contemporary architecture. In this book, Herzog & de Meuron document their project: extensive archive material, plans, and photographs are used to illustrate the process of the creation of this once-in-a-hundred-years building from the first sketch and the various design stages with their many challenges, through to completion of the finished building. The dialog between historical brick plinth and contemporary glass crystal, the combination of different functions, the development of the spectacular large concert hall, the design of a public plaza for the population are just some of the many aspects that contribute to the attractiveness of the building.