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Introduces developments in the study of algebras defined by quadratic relations. This book presents an exposition of the theory of quadratic and Koszu...Savoir plus
Gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum ...Savoir plus
Focuses on equations from toric varieties and Grassmannians. Not only is much known about these, but such equations are common in applications. There ...Savoir plus
Based on lectures presented at Pennsylvania State University in February 1987, this work begins with the notions of manifold and smooth structures and...Savoir plus
Fifty years after it was first published, Armand Borel's Introduction aux groupes arithmetiques continues to be very important for the theory of arith...Savoir plus
Arithmetic non commutative geometry uses ideas and tools from non commutative geometry to reinterpret results and constructions from number theory and...Savoir plus
The Arthur-Selberg trace formula is an equality between two kinds of traces: the geometric terms given by the conjugacy classes of a group and the spe...Savoir plus
Explores genericity of approximation in various categories and presents many applications, including spectral multiplicity and properties of the maxim...Savoir plus
Robert Steinberg's Lectures on Chevalley Groups were delivered and written during the author's sabbatical visit to Yale University in the 1967-1968 ac...Savoir plus
Hugh Woodin is a leading figure in modern set theory, having made many contributions to the field, in particular to descriptive set theory and large c...Savoir plus
Offers a survey of the developments in Riemannian geometry. This book focuses on five areas of Riemannian geometry: Curvature and topology; the constr...Savoir plus
Presents an approach from the point of view of Frobenius algebras/extensions to diverse topics, such as Jones' subfactor theory, Hopf algebras and Hop...Savoir plus
The theory of plane curves is much richer than knot theory, which may be considered the commutative version of the theory of plane curves. This study ...Savoir plus
Presents a mathematically rigorous approach to the main ideas and phenomena of statistical physics. This book addresses the physical motivation, focus...Savoir plus
The theory of Borel equivalence relations and related topics have been very active areas of research in set theory and have important interactions wit...Savoir plus
Provides a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a characteristic free a...Savoir plus
Refers to unitary groups of Hilbert spaces, the infinite symmetric group, groups of homeomorphisms of manifolds, and groups of transformations of meas...Savoir plus
Deals with the interplay of computational commutative algebra and the theory of convex polytopes. This title centers around a special class of ideals ...Savoir plus
Examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic function...Savoir plus
Over the years, the study of superprocesses has expanded into a major industry and can be regarded as a central theme in modern probability theory. Th...Savoir plus
Mathematics has been called the science of order. This book intends to provide examples - and proofs - of the complexity law: discrete systems are eit...Savoir plus
Describes the main results of first-passage percolation (FPP), with two purposes in mind. First, they give self-contained proofs of seminal results ob...Savoir plus
Starting from classical arithmetical questions on quadratic forms, this book takes the reader step by step through the connections with lattice sphere...Savoir plus