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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
Carolina Araujo, Ana-Maria Castravet, Ivan Cheltsov, Kento Fujita, Anne-Sophie Kaloghiros, Jesus Martinez-Garcia, Constantin Shramov, Hendrik Süß, Nivedita Viswanathan
Sērija : 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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
