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Introduces the groups of finite Morley rank, and highlights their resemblance to algebraic groups, of which they are the prototypes. This title can be...Savoir plus
Presents an introduction to group-theoretic methods in analysis on spaces with a group action. This book deals with the three two-dimensional spaces o...Savoir plus
Since its inception around 1980, the theory of perverse sheaves has been a vital tool of fundamental importance in geometric representation theory. Th...Savoir plus
Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. This book surveys the modern theory...Savoir plus
Subriemannian geometries, also known as Carnot-Caratheodory geometries, can be viewed as limits of Riemannian geometries. They also arise in physical ...Savoir plus
Originating from a series of lectures given at the 2017 Arizona Winter School on perfectoid spaces, this book provides a broad introduction to this su...Savoir plus
Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics,...Savoir plus
A study of positive polynomials that brings together algebra, geometry and analysis. This book provides an elementary introduction to positive polynom...Savoir plus
Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive al...Savoir plus
Introduces modern ergodic theory. This book emphasizes a fresh approach that relies on the technique of joining two (or more) dynamical systems. It is...Savoir plus
Aims to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal ...Savoir plus
Presents the classification of the finite simple groups of special even type. The principal result of this volume is a classification of the groups of...Savoir plus
Introduces a fresh point-set level approach to stable homotopy theory that has had many applications and promises to have a lasting impact on the subj...Savoir plus
The subject of amenability has its roots in the work of Lebesgue at the turn of the century. In the 1940s, the subject began to shift from finitely ad...Savoir plus
Integer-valued polynomials on the ring of integers have been known for a long time and have been used in calculus. Polya and Ostrowski generalized thi...Savoir plus
Summarizes the literature about the ring structure of the mod 2 cohomology of sporadic simple groups. This book offers background material on the rele...Savoir plus
Shows that the underlying topological thread in the computation of invariants of G-manifolds is a consequence of a linearization theorem involving equ...Savoir plus
Aims to treat a theory of elliptic boundary value problems in domains without singularities and in domains with conical or cuspidal points. This work ...Savoir plus
Offers an introduction to modern ergodic theory. It emphasizes a new approach that relies on the technique of joining two (or more) dynamical systems....Savoir plus
The theory of bounded cohomology, introduced by Gromov in the late 1980s, has had powerful applications in geometric group theory and the geometry and...Savoir plus
Develops a theory that can be viewed as a noncommutative counterpart of the following topics: dynamical systems in general and integrable systems in p...Savoir plus
This is the first book to be devoted entirely to the potential theory of the heat equation, and thus deals with time dependent potential theory. Its p...Savoir plus
The classification of finite simple groups is a landmark result of modern mathematics. This work presents critical aspects of the classification. It p...Savoir plus
Presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. This book discu...Savoir plus