Böcker i Contemporary Mathematics-serien

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.

Contains the proceedings of the Second Mid-Atlantic Topology Conference, held in March 2016, at Johns Hopkins University. The focus of the conference, and subsequent papers, was on applications of innovative methods from homotopy theory in category theory, algebraic geometry, and related areas, emphasizing the work of younger researchers in these fields.

Contains the proceedings of the Alpine Algebraic and Applied Topology Conference, held in August 2016. The papers cover a range of topics in modern algebraic topology, including the theory of highly structured ring spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic $K$-theory and topological cyclic, periodic, or Hochschild homology, and intersection cohomology.

Contains the proceedings of the AMS Special Sessions on Frames, Wavelets and Gabor Systems and Frames, Harmonic Analysis, and Operator Theory, held in April 2016, at North Dakota State University in Fargo, North Dakota. The papers cover frame theory and applications in three specific contexts: frame constructions and applications, Fourier and harmonic analysis, and wavelet theory.

Contains the proceedings of the 17th Workshop and International Conference on Representations of Algebras (ICRA 2016), held in August 2016, at Syracuse University. This volume includes three survey articles based on short courses in the areas of commutative algebraic groups, modular group representation theory, and thick tensor ideals of bounded derived categories.

Contains the proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose. Momose made important contributions to the theory of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian varieties, and applications of arithmetic geometry to cryptography.

Contains the proceedings of the Second Workshop of Mexican Mathematicians, held in December 2014. The book features articles drawn from eight broad research areas: algebra, analysis, applied mathematics, combinatorics, dynamical systems, geometry, probability theory, and topology.

Contains the proceedings of the International Conference on Vorticity, Rotation and Symmetry (IV) - Complex Fluids and the Issue of Regularity. The papers cover topics in mathematical fluid mechanics ranging from the classical regularity issue for solutions of the 3D Navier-Stokes system to compressible and non-Newtonian fluids and MHD flows.

Topological complexity is a numerical homotopy invariant, defined by Farber in the early twenty-first century as part of a topological approach to the motion planning problem in robotics. This volume contains survey articles and original research papers on topological complexity and its many generalizations and variants, to give a snapshot of contemporary research on this exciting topic.

Contains the proceedings of the 14th International Conference on $p$-adic Functional Analysis, held in July 2016, at the Universite d'Auvergne, Aurillac, France. Through a combination of new research articles and a survey paper, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis.

Contains the proceedings of the AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, held in January 2016. The articles investigate the automorphism groups of curves and superelliptic curves and results regarding integral points on curves and their applications in mirror symmetry.

Presents a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Seminaire de Mathematiques Superieures on Geometric and Computational Spectral Theory, held in June 2015 at the Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Quebec, Canada. The volume covers a broad variety of topics in spectral theory.

Contains the proceedings of the Seventh International Conference on Complex Analysis and Dynamical Systems, held in May 2015, in Nahariya, Israel. The papers range over a wide variety of topics in the interaction between various branches of mathematical analysis. Taken together, the articles provide the reader with a panorama of activity in complex analysis, geometry, harmonic analysis, and PDEs.

Contains the proceedings of the international conference "Ordered Algebraic Structures and Related Topics", held in October 2015, at CIRM, Luminy, Marseilles. Papers cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.

The Ahlfors-Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function theory, Teichmuller theory, hyperbolic geometry, and partial differential equations. This volume contains papers on Kleinian groups, classical Riemann surface theory, mapping class groups, geometric group theory, and statistical mechanics.

Papers contained in this volume address a wide range of topics, from theoretical aspects of algebra, namely group theory, universal algebra and related areas, to applications in several different areas of computer science. From the computational side, the book aims to reflect the rapidly emerging area of algorithmic problems in algebra, their computational complexity and applications.

Contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs. Included are articles that draw on techniques from geometry and algebra to address topological problems about knot theory and spatial graph theory, and their combinatorial generalizations to equivalence classes of diagrams.

Contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2015. Focused in the area of group rings and algebras, this volume contains a mixture of cutting edge research topics in group theory, ring theory, algebras and their representations, Hopf algebras and quantum groups.

Contains the proceedings of the Logic at Harvard conference in honour of W. Hugh Woodin's 60th birthday. The topics cover many of the areas central to Woodin's work, including large cardinals, determinacy, descriptive set theory and the continuum problem, as well as connections between set theory and Banach spaces, recursion theory, and philosophy, each reflecting a period of Woodin's career.

Contains the proceedings of the conference on Manifolds, $K$-Theory, and Related Topics, held in June, 2014. The articles are a collection of research papers featuring recent advances in homotopy theory, $K$-theory, and their applications to manifolds. Topics covered include homotopy and manifold calculus, structured spectra, and their applications to group theory and the geometry of manifolds.

The 2013 Seminaire de Mathematiques Superieures in Montreal presented an opportunity for the next generation of scientists to learn in one place about the various perspectives on knot homology. This volume presents a cross-section of topics covered at that summer school and will be a valuable resource for graduate students and researchers wishing to learn about this rapidly growing field.

Focuses on the role categorification plays in geometry, topology, and physics. These articles illustrate many important trends for the field including geometric representation theory, homotopical methods in link homology, interactions between higher representation theory and gauge theory, and double affine Hecke algebra approaches to link homology.

Contains the proceedings of the AMS Special Session on Algebraic and Geometric Methods in Applied Discrete Mathematics, held January 2015. The papers present connections between techniques from "pure" mathematics and various applications amenable to the analysis of discrete models, encompassing applications of combinatorics, topology, algebra, geometry, optimization, and representation theory.