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It has been realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as sin...Savoir plus
Covers developments in the theory of Teichmuller spaces and offers references to the literature on Teichmuller spaces and quasiconformal mappings. Thi...Savoir plus
Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the same from a g...Savoir plus
Offers an introduction to the perturbative path integral for gauge theories (in particular, topological field theories) in Batalin-Vilkovisky formalis...Savoir plus
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
Based on courses given by the author at MIT and at Rome University in spring 1997, this book presents an introduction to algebraic aspects of conforma...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
Offers a discussion of the Berkovich projective line and $p$-adic potential theory on that and more general Berkovich curves. This book discusses theo...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
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
Studies torus actions on topological spaces presented as a bridge - connecting combinatorial and convex geometry with commutative and homological alge...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
Gives an introduction to the topology of tiling spaces. Suitable for graduate students, this title presents a review of the work on tiling spaces as i...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
Focuses on the applications of probability theory to the theory of nonlinear partial differential equations. This book is suitable for graduate studen...Savoir plus
Presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry...Savoir plus
One of the classical areas of algebra, the theory of symmetric functions and orthogonal polynomials has been known to be connected to combinatorics, r...Savoir plus
Surveys the relations between the various kinds of chaos and related notions for continuous interval maps from a topological point of view. Some of th...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
Cauchy-Riemann (CR) geometry is the study of manifolds equipped with a system of CR-type equations. CR geometry has become an important topic in diffe...Savoir plus
Provides an overview of the advances in the theory of noncommutative motives. Part one is devoted to the study of DG categories from a homotopical vie...Savoir plus
Harish-Chandra's remarkable theorem on the local summability of characters for $p$-adic groups was a major result in representation theory that spawne...Savoir plus
Presents a self-contained introduction to the modular representation theory of the Iwahori-Hecke algebras of the symmetric groups and of the $q$-Schur...Savoir plus
Introduces the representation theory of quantum groups using quantum groups of type $A_{r-1}^{(1)}$ as a main example. This book also explains the pro...Savoir plus