Bøger i Contemporary Mathematics serien

Contains the proceedings of the workshop on Recent Trends in Operator Theory and Applications (RTOTA 2018). Topics addressed include generalized numerical ranges and their application to study perturbation of operators; a survey of results on Toeplitz operators; and results on the 2-local reflexivity problem of a set of operators.

This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications. Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered.

Contains the proceedings of the 16th Carolina Dynamics Symposium, held in April 2018. The papers cover various topics in dynamics and randomness, including complex dynamics, ergodic theory, topological dynamics, celestial mechanics, symbolic dynamics, computational topology, random processes, and regular languages.

Contains contributions from speakers at the 2015-2018 Johns Hopkins University and University of Maryland Complex Geometry Seminar. The book includes a survey article on recent developments in pluripotential theory and its applications to Kahler-Einstein metrics and continues with articles devoted to aspects of the theory of complex manifolds.

The second of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas.

This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas.

Contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, held in June 2016. Content is split into dimension gaps and the mass transfer principle, fractal strings and complex dimensions, Laplacians on fractal domains and SDEs with fractal noise, and aperiodic order (Delone sets and tilings).

Addresses various aspects of the theory of automorphic forms and its relations with the theory of $L$-functions, the theory of elliptic curves, and representation theory. This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to "build bridges" to mathematical questions in other fields.

Contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held in 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture. Papers cover recent developments in model theory, module theory and category theory, and their intersection.

Contains the proceedings of the conference "Homotopy Theory: Tools and Applications". The articles cover a variety of topics spanning the current research frontier of homotopy theory. This includes articles concerning both computations and the formal theory of chromatic homotopy.

Contains the proceedings of the scientific session "Hopf Algebras and Tensor Categories". Papers highlight the latest advances and research directions in the theory of tensor categories and Hopf algebras.

Contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications. The papers are related to noncommutative rings, covering topics such as ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance; and coding theory.

Contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding theory, differential equations, and more.

Contains the proceedings of the AMS Special Session on New Developments in the Analysis of Nonlocal Operators. Problems presented in this volume include uniqueness for weak solutions to abstract parabolic equations with fractional time derivatives and the behavior of the one-phase Bernoulli-type free boundary near a fixed boundary.

Addresses the latest trends and perspectives in the area of nonlinear dispersive equations and fluid flows. The topics mainly focus on using state-of-the-art methods and techniques to investigate problems of depth and richness arising in quantum mechanics, general relativity, and fluid dynamics.

Explores various topics of universal algebra, universal algebraic geometry, logic geometry, and algebraic logic, as well as applications of universal algebra to computer science, geometric ring theory, small cancellation theory, and Boolean algebras.

Includes research papers covering active areas of investigation, survey papers covering Leibniz algebras, self-distributive structures, and rack homology, and a sampling of applications ranging from Yang-Mills theory to the Yang-Baxter equation and Laver tables.

Presents original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer-Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic groups, and applications of the computation of zeta functions of curves.

A collection of lecture notes and survey papers based on the minicourses given by leading experts at the 2016 CRM Summer School on Spectral Theory and Applications. Papers cover a broad variety of topics in spectral theory, starting from the fundamentals and highlighting its connections to PDEs, geometry, physics, and numerical analysis.

Contains the proceedings of the AMS Special Session on Unimodularity in Randomly Generated Graphs, held in 2016, in Denver, Colorado. Unimodularity, a term initially used in locally compact topological groups, is one of the main examples in which the generalization from groups to graphs is successful.

Presents, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program. Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers.

A tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work.

Contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. The selected articles reflect the diverse landscape of modern representation theory of algebras.

Provides a snapshot of the diversity of themes and applications that interest algebraists today. The papers highlight the latest progress in ring and module research and present work done on the frontiers of the topics discussed. In addition, selected expository articles are included.

Contains the proceedings of the QMATH13: Mathematical Results in Quantum Physics conference, held in October 2016. Topics include random Schrodinger operators, many-body fermionic systems, atomic systems, effective equations, and applications to quantum field theory.

Contains the proceedings of the NSF-CBMS Regional Conference on Topological and Geometric Methods in QFT, held in 2017. Papers amplify various aspects of the Freed-Hopkins program, develop some category theory, which lies behind the cobordism hypothesis, and relate to Costello's approach to perturbative quantum field theory.

Contains the proceedings of the AMS Special Session on Harmonic Analysis, held in January 2017. The articles provide fresh perspectives on many different directions within harmonic analysis, highlighting connections with integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators.

Contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held in November 2016. The articles cover various aspects of representations of Kac-Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever-Novikov algebras, and related topics.

Contains the proceedings of the AMS Special Session on Vertex Algebras and Geometry and the mini-conference on Vertex Algebras, held in October 2016, in Denver, Colorado. The papers cover vertex algebras in connection with geometry and tensor categories.

Contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held in May 2016 at the University of Illinois. The articles cover a broad range of topics in algebraic geometry and related fields, including birational geometry and moduli theory, analytic and positive characteristic methods, and singularity theory.