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Affine Bernstein Problems and Monge-Ampre Equations
In this monograph, the interplay between geometry and partial differential equations (PDEs) is of particular interest. It gives a selfcontained introduction to research in the last decade concerning global problems in the theory of submanifolds, leading to some types of Monge-AmpFre equations. From the methodical point of view, it introduces the solution of certain Monge-AmpFre equations via geometric modeling techniques. Here geometric modeling means the appropriate choice of a normalization and its induced geometry on a hypersurface defined by a local strongly convex global graph. For a better understanding of the modeling techniques, the authors give a selfcontained summary of relative hypersurface theory, they derive important PDEs (e.g. affine spheres, affine maximal surfaces, and the affine constant mean curvature equation). Concerning modeling techniques, emphasis is on carefully structured proofs and exemplary comparisons between different modelings.
Modular Forms and String Duality
"This book is a testimony to the BIRS Workshop, and it covers a wide range of topics at the interface of number theory and string theory, with special emphasis on modular forms and string duality. They include the recent advances as well as introductory expositions on various aspects of modular forms, motives, differential equations, conformal field theory, topological strings and Gromov-Witten invariants, mirror symmetry, and homological mirror symmetry. The contributions are roughly divided into three categories: arithmetic and modular forms, geometric and differential equations, and physics and string theory. The book is suitable for researchers working at the interface of number theory and string theory."--BOOK JACKET.
Advances in Immunology
With contributions from Steven A. Porcelli and other internationally recognized leaders in the field, this volume continues the tradition of indispensable reviews. Papers on the CD1 family, positive selection of thymocytes, and molecular and cellular aspects of XLA highlight the latest volume.
Compact Manifolds with Special Holonomy
This is a combination of a graduate textbook on Reimannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It contains much new research and many new examples.
Modular Forms and String Duality
"This book is a testimony to the BIRS Workshop, and it covers a wide range of topics at the interface of number theory and string theory, with special emphasis on modular forms and string duality. They include the recent advances as well as introductory expositions on various aspects of modular forms, motives, differential equations, conformal field theory, topological strings and Gromov-Witten invariants, mirror symmetry, and homological mirror symmetry. The contributions are roughly divided into three categories: arithmetic and modular forms, geometric and differential equations, and physics and string theory. The book is suitable for researchers working at the interface of number theory and string theory."--BOOK JACKET.
The Human IgG Subclasses
This book features contributions from internationally renowned scientists from Europe and the USA covering aspects of immunoglobulin subclasses from a molecular and mechanistic approach. The first section presents a detailed discussion of the molecular structure and segmental flexibility of IgG subclasses, including how this controls their effector function. Structure-function relationships are fully developed in the second section by means of a functional approach to the study of complement activation and opsonization by IgG subclasses. The final section contains a generous account of the regulation of IgG subclass expressions.
Singularities of the Minimal Model Program
An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.
Pseudo-Riemannian Geometry, [delta]-invariants and Applications
The first part of this book provides a self-contained and accessible introduction to the subject in the general setting of pseudo-Riemannian manifolds and their non-degenerate submanifolds, only assuming from the reader some basic knowledge about manifold theory. A number of recent results on pseudo-Riemannian submanifolds are also included.The second part of this book is on ë-invariants, which was introduced in the early 1990s by the author. The famous Nash embedding theorem published in 1956 was aimed for, in the hope that if Riemannian manifolds could be regarded as Riemannian submanifolds, this would then yield the opportunity to use extrinsic help. However, this hope had not been mater...
Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions
Our book gives the complex counterpart of Klein's classic book on the icosahedron. We show that the following four apparently disjoint theories: the symmetries of the Hessian polyhedra (geometry), the resolution of some system of algebraic equations (algebra), the system of partial differential equations of Appell hypergeometric functions (analysis) and the modular equation of Picard modular functions (arithmetic) are in fact dominated by the structure of a single object, the Hessian group $mathfrak{G}’_{216}$. It provides another beautiful example on the fundamental unity of mathematics.
Philo of Alexandria and Post-Aristotelian Philosophy
An inquiry drawing on the presence of Hellenistic philosophy in Philo provides a better knowledge of the diffusion of Hellenistic philosophy since the late Republican age, as well as the relationship between Philoa (TM)s reception and other doxohraphical tradition.
