This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelov-type theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Kahler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the group-theoretic approach to Hodge structures is explained, leading to Mumford-Tate groups and their associated domains, the Mumford-Tate varieties and generalizations of Shimura varieties.

Few would dispute that many Western industrial democracies undertook extensive deregulation in the 1970s and 1980s. Yet this narrative, in its most familiar form, depends upon several historiographical assumptions that bely the complexities and pitfalls of studying the recent past. Across thirteen case studies, the contributors to this volume investigate this "deregulatory moment" from a variety of historical perspectives, including transnational, comparative, pan-European, and national approaches. Collectively, they challenge an interpretive framework that treats individual decades in isolation and ignores broader trends that extend to the end of the Second World War.

The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori's abelian category of mixed motives. It develops Nori's approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to periods, including a detailed account of the theory of period numbers in the sense of Kontsevich-Zagier and their structural properties. Period numbers are central to number theory and algebraic geometry, and also play an important role in other fields such as mathematical physics. There are long-standing conjectures about their transcendence properties, best understood in the language of cohomology of algebraic varieties or, more generally, motives. Readers of this book will discover that Nori's unconditional construction of an abelian category of motives (over fields embeddable into the complex numbers) is particularly well suited for this purpose. Notably, Kontsevich's formal period algebra represents a torsor under the motivic Galois group in Nori's sense, and the period conjecture of Kontsevich and Zagier can be recast in this setting. Periods and Nori Motives is highly informative and will appeal to graduate students interested in algebraic geometry and number theory as well as researchers working in related fields. Containing relevant background material on topics such as singular cohomology, algebraic de Rham cohomology, diagram categories and rigid tensor categories, as well as many interesting examples, the overall presentation of this book is self-contained.

This book is thematically positioned at the intersections of Urban Design, Architecture, Civil Engineering and Computer Science, and it has the goal to provide specialists coming from respective fields a multi-angle overview of state-of-the-art work currently being carried out. It addresses both newcomers who wish to obtain more knowledge about this growing area of interest, as well as established researchers and practitioners who want to keep up to date. In terms of organization, the volume starts out with chapters looking at the domain at a wide-angle and then moves focus towards technical viewpoints and approaches.

This book contains the final versions of the proceedings of the fifth EUROGRA PHICS Workshop on Rendering held in Darmstadt, Germany, between 13-15 June 1994. With around 80 participants and 30 papers, the event continued the successful tradition of the previous ones establishing the event as the most im portant meeting for persons working on this area world-wide. After more than 20 years of research, rendering remains an partially unsolved, interesting, and challenging topic. This year 71 (!) papers have been submitted from Europe, North America, and Asia. The average quality in terms of technical merit was impressive, showing that substantial work is achieved on this topic from several groups around the world. In general we all gained the impression that in the mean time the technical quality of the contributions is comparable to that of a specialised high-end, full scale conference. All papers have been reviewed from at least three members of the program committee. In addition, several colleagues helped us in managing the reviewing process in time either by supporting additional reviews, or by assisting the members of the committee. We have been very happy to welcome eminent invited speakers. Holly Rush meier is internationally well known for her excellent work in all areas of rendering and gave us a review of modelling and rendering participating media with em phasis on scientific visualization. In addition, Peter Shirley presented a survey about future rends in rendering techniques.

The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties.

Current therapies for most human genetic diseases are inadequate. In response to the need for effective treatments, modern molecular genetics is providing tools for an unprecedented new approach to the treatment of diseases; e.g. the direct manipulation of mutant genes or the input on new therapeutic genes. The treatment of human disease by gene transfer has now moved from the theoretical to the practical realm. With the initiation of clinical trials involving somatic gene therapy in different countries, a critical assessment of the different aspects involved with this new technique is necessary. This volume provides an overview on all these interdisciplinary aspects by some well known experts all over the world.

Das Rechnungswesen gehoert zu den zentralen Unternehmensbereichen. Neben der Abbildung interner Vorgange im Rahmen des Controllings bildet es auch die Basis fur die extern orientierte Unternehmensrechnung. Beide Teilgebiete haben sich in den letzten Jahren dynamisch entwickelt. Entsprechend komplex und kontrovers ist die Diskussion in Wissenschaft und Praxis. In "Controlling und Rechnungslegung" bieten renommierte Fachexperten eine ausgewogene Mischung aus neuesten wissenschaftlichen Erkenntnissen und aktuellen Beispielen.

Collating different aspects of Vector-valued Partial Differential Equations and Applications, this volume is based on the 2013 CIME Course with the same name which took place at Cetraro, Italy, under the scientific direction of John Ball and Paolo Marcellini. It contains the following contributions: The pullback equation (Bernard Dacorogna), The stability of the isoperimetric inequality (Nicola Fusco), Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities (Stefan Muller), and Aspects of PDEs related to fluid flows (Vladimir Sverak). These lectures are addressed to graduate students and researchers in the field.

The book describes a large fragment of a grammar of German in terms of the HPSG paradigm. On a broad empirical basis it develops a formally explicit theory with special emphasis on various word-order phenomena: the relatively free position of constituents in the midfield with reference to coherent constructions, positioning in the verb complex, initial-field occupancy, and extraposition. The analysis of these phenomena is embedded in a general theory of sentence structure and a discussion of relevant formal mechanisms.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori's abelian category of mixed motives. It develops Nori's approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to periods, including a detailed account of the theory of period numbers in the sense of Kontsevich-Zagier and their structural properties. Period numbers are central to number theory and algebraic geometry, and also play an important role in other fields such as mathematical physics. There are long-standing conjectures about their transcendence properties, best understood in the language of cohomology of algebraic varieties or, more generally, motives. Readers of this book will discover that Nori's unconditional construction of an abelian category of motives (over fields embeddable into the complex numbers) is particularly well suited for this purpose. Notably, Kontsevich's formal period algebra represents a torsor under the motivic Galois group in Nori's sense, and the period conjecture of Kontsevich and Zagier can be recast in this setting. Periods and Nori Motives is highly informative and will appeal to graduate students interested in algebraic geometry and number theory as well as researchers working in related fields. Containing relevant background material on topics such as singular cohomology, algebraic de Rham cohomology, diagram categories and rigid tensor categories, as well as many interesting examples, the overall presentation of this book is self-contained.