Carolina Araujo, Ana-Maria Castravet, Ivan Cheltsov, Kento Fujita, Anne-Sophie Kaloghiros, Jesus Martinez-Garcia, Constantin Shramov, Hendrik Süß, Nivedita Viswanathan
Everywhere one looks, one finds dynamic interacting systems: entities expressing and receiving signals between each other and acting and evolving accordingly over time. In this book, the authors give a new syntax for modeling such systems, describing...Daugiau...
The P vs. NP problem is one of the fundamental problems of mathematics. It asks whether propositional tautologies can be recognized by a polynomial-time algorithm. The problem would be solved in the negative if one could show that there are propositi...Daugiau...
This book, intended for PhD students and researchers, revisits the theory of rewriting and presentations of algebraic structures, through the unified approach provided by polygraphs, and put it in the context of homotopical algebra. It introduces the...Daugiau...
A detailed treatment of Mackey functors and homotopical applications in the broader context of enriched diagram categories, suitable for graduate students or researchers with an interest in category theory, equivariant homotopy theory, or related fie...Daugiau...
Arising from the 2022 Japan-US Mathematics Institute, this book covers a range of topics in modern algebraic geometry, including birational geometry, classification of varieties in positive and zero characteristic, K-stability, Fano varieties, foliat...Daugiau...
This volume arises from the 2022 edition of the long-running Groups St Andrews conference series and consists of expository papers from leading researchers in all areas of group theory. It provides a snapshot of the state of the art in the field, a...Daugiau...
This book provides a tool-kit for the advanced study of symmetry, one of the most important concepts in mathematics and physics. Full of detailed examples, it discusses some of the most exciting interactions between operator algebras and representat...Daugiau...
This volume contains nine survey articles by the invited speakers of the 30th British Combinatorial Conference, held at Queen Mary University of London in July 2024. Each article provides an overview of recent developments in a current hot research t...Daugiau...
This collection of four short courses looks at group representations, graph spectra, statistical optimality, and symbolic dynamics, highlighting their common roots in linear algebra. Aimed at researchers and beginning Ph.D. students, it includes copi...Daugiau...
Crossing the boundary between differential and algebraic geometry, the authors introduce algebro-geometric methods into differential geometry, allowing differential geometers to study singular or infinite-dimensional spaces. In particular the authors...Daugiau...
This text provides a unique overview of the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics, offering a new conceptual treatment of the twisting procedure. It includes many motivating examples to render the theory acce...Daugiau...
This text provides the current state of knowledge on, arguably, one of the most attractive and mysterious mathematical objects: the Monster group. Some 20 experts here share their expertise in this exciting field. Ideal for researchers and graduate...Daugiau...
Expanding on lectures given at the LMS Autumn Algebra School 2020, this text gives a guided tour of modern developments in algebra and representation theory. It includes many worked examples and applications, providing graduate students and research...Daugiau...
Carolina Araujo, Ana-Maria Castravet, Ivan Cheltsov, Kento Fujita, Anne-Sophie Kaloghiros, Jesus Martinez-Garcia, Constantin Shramov, Hendrik Süß, Nivedita Viswanathan
Serija: London Mathematical Society Lecture Note Series
This book determines whether the general member of each family of smooth Fano threefolds admits a KählerEinstein metric, using K-stability. Complemented by appendices outlining results needed to understand this active area, it will be essential read...Daugiau...
This short book gives an overview of rectifiability and its deep connections with surprisingly large parts of mathematics. It avoids long technical arguments in favour of the big picture, with full references given via an extensive bibliography, givi...Daugiau...
Discrete quantum walks are quantum analogues of classical random walks. They are an important tool in quantum computing and a number of algorithms can be viewed as discrete quantum walks, in particular Grovers search algorithm. These walks are cons...Daugiau...
Since their introduction by Gromov in the 1980s, the study of bounded cohomology and simplicial volume has developed into an active field connected to geometry and group theory. This monograph, arising from a learning seminar for young researchers wo...Daugiau...
Written in celebration of Miles Reids 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reids varied career. Just as in Reids own s...Daugiau...
The Stacks Project Expository Collection (SPEC) compiles expository articles in advanced algebraic geometry, intended to bring graduate students and researchers up to speed on recent developments in the geometry of algebraic spaces and algebraic stac...Daugiau...
An innovative approach to elliptic regularity, pushing forward important ideas in the area and tackling fundamental models in the theory. The book collects the basics of the field and seamlessly transitions to advanced, refined techniques in the cont...Daugiau...
Readers will learn how to automatically prove or disprove new results in combinatorics and number theory in milliseconds by phrasing their desired results in first-order logic and using free software to automate the computation process. Containing mo...Daugiau...
This modern introduction to operator theory on spaces with indefinite inner product guides the reader step by step through the important results of recent decades. It is highly readable and contains generous background material, making it suitable fo...Daugiau...
This volume contains eight survey articles by the invited speakers of the 29th British Combinatorial Conference, one of the major international events in combinatorics. These articles, by leading experts in the field, provide a snapshot of current de...Daugiau...
This book is devoted to Diophantine equations where the solutions are taken from an integral domain of characteristic 0 that is finitely generated over Z, that is a domain of the shape Z( z1; : : : ; zr) with quotient field of characteristic 0, where...Daugiau...
Written to honor the 80th birthday of William Fulton, the articles collected in these volumes present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Fe...Daugiau...
Let X be a complex nonsingular variety with globally generated tangent bundle. We prove that the signed Segre-MacPherson (SM) class of a constructible function on X with effective characteristic cycle is effective. This observation has a surprising...Daugiau...
Written to honor the 80th birthday of William Fulton, the articles in this volume present substantial contributions to algebraic geometry, particularly combinatorial algebraic geometry and intersection theory. Covering a wide range of topics of curre...Daugiau...
This is the first book on matrix and kernel transforms preserving positivity structures. It is self-contained and only requires modest prerequisites in analysis and linear algebra. Covering deep results and modern progress, the book succeeds as an in...Daugiau...
This book covers the various hard mathematical problems used in cryptography and on which cybersecurity is built, as well as recent advances on how to solve these problems from a theoretic and practical applied perspective. Students and security engi...Daugiau...
This volume contains eight research papers inspired by the 2019 Equivariant Topology and Derived Algebra conference, held at the Norwegian University of Science and Technology, Trondheim in honour of Professor J. P. C. Greenlees 60th birthday. The...Daugiau...
Robert Langlands contributions to modern number theory, which is generally referred to as the Langlands Program, has been visionary and ground breaking. The present volume is intended as homage to his early work in which the seeds of the program...Daugiau...
This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus, a powerful tool for clarifying and simplifying many results in category theory that may then be exported to diverse mathematical fields. It is suitable as a refe...Daugiau...
The nine survey articles in this book provide expanded accounts of plenary lectures given at the British Combinatorial Conference in July 2021. Written by leading experts in the field, they present the state of the art in several areas of contemporar...Daugiau...
This monograph presents the transformation theory of Willmore surfaces (possibly with a constraint), including applications to surfaces of constant mean curvature. Self-contained accounts of the core topics make it suitable for newcomers to the field...Daugiau...
The study of modules which are invariant under the action of certain subsets of the endomorphism ring of their injective envelope can be drawn back to the pioneering work of Johnson and Wong in which they characterized quasi-injective modules as tho...Daugiau...
A comprehensive tour across differential geometry, geometric analysis and differential topology, this graduate-level text touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality,...Daugiau...
This is a collection of graduate-level introductions to five areas of current research interest in orthogonal polynomials and special functions. It derives from the OPSF-S6 Summer School lectures given by international authorities and has been carefu...Daugiau...
This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics....Daugiau...
Complex analysis has relevance to various branches of mathematics from algebraic geometry to differential topology. This book presents a view of complex analysis that places it in a more global setting and relates it to the case of several complex v...Daugiau...
Account of work in area of ergodic theory and dynamical systems for which author was awarded Fields medal. This book falls into two parts. The first studies those circle diffeomorphisms which commute with a diffeomorphism f whose rotation num...Daugiau...
The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on commutative algebra, group cohomology, homological algebra, and the theory of motives. Zet...Daugiau...
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive set of volumes highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the...Daugiau...
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is ac...Daugiau...
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive second volume highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the te...Daugiau...
The book is designed for graduate students and beginning researchers into the arithmetic theory of automorphic forms, and for all who want to know more about the Langlands program. It forms a sequel to On the Stabilization of the Trace Formula publis...Daugiau...
Wigners theorem (67) provides a geometric characterization of unitary and anti-unitary operators as transformations of the set of rays of a complex Hilbert space, or equivalently, rank one projections. This statement plays an important role in math...Daugiau...
This book focuses on generalisations of Gromov hyperbolicity in geometric group theory. Five self-contained expository articles introduce topics beyond hyperbolicity: these can be used as an introduction for students or as a reference for experts....Daugiau...
The eight articles in this book provide a valuable survey of the present state of knowledge in combinatorics. Written by leading experts in the field, they provide expanded accounts of plenary seminars given at the British Combinatorial Conference in...Daugiau...
In this edited volume leaders in the field of partial differential equations present recent work on topics in PDEs arising from geometry and physics. The papers originate from a 2015 research school organized by CIMPA and MIMS in Hammamet, Tunisia to...Daugiau...
