Author : Pieter Belmans
Publisher : Cambridge University Press
Page : 307 pages
File Size : 10,5 MB
Release : 2022-10-31
Category : Mathematics
ISBN : 1009054856
A collection of expository articles on modern topics in algebraic geometry, focusing on the geometry of algebraic spaces and stacks.
Author : Peter Gothen
Publisher : American Mathematical Society
Page : 382 pages
File Size : 31,31 MB
Release : 2024-07-18
Category : Mathematics
ISBN : 1470472961
This volume contains the proceedings of the VBAC 2022 Conference on Moduli Spaces and Vector Bundles—New Trends, held in honor of Peter Newstead's 80th birthday, from July 25–29, 2022, at the University of Warwick, Coventry, United Kingdom. The papers focus on the theory of stability conditions in derived categories, non-reductive geometric invariant theory, Brill-Noether theory, and Higgs bundles and character varieties. The volume includes both survey and original research articles. Most articles contain substantial background and will be helpful to both novices and experts.
Author : Chris Godsil
Publisher : Cambridge University Press
Page : 151 pages
File Size : 39,44 MB
Release : 2022-12-31
Category : Computers
ISBN : 1009261681
Explore the mathematics arising from discrete quantum walks in this introduction to a rapidly developing area.
Author : Alexander A. Ivanov
Publisher : Cambridge University Press
Page : 584 pages
File Size : 10,73 MB
Release : 2023-08-17
Category : Mathematics
ISBN : 1009338056
Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
Author : David Jordan
Publisher : Cambridge University Press
Page : 407 pages
File Size : 10,92 MB
Release : 2023-08-17
Category : Mathematics
ISBN : 1009097350
Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.
Author : Felix Fischer
Publisher : Cambridge University Press
Page : 305 pages
File Size : 25,45 MB
Release : 2024-06-13
Category : Mathematics
ISBN : 1009490532
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Author : Anthony Nixon
Publisher : Cambridge University Press
Page : 257 pages
File Size : 34,22 MB
Release : 2022-06-09
Category : Mathematics
ISBN : 1009096222
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Author : Aurelian Gheondea
Publisher : Cambridge University Press
Page : pages
File Size : 49,95 MB
Release : 2022-07-28
Category : Mathematics
ISBN : 1108981275
This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.
Author : Kelli Francis-Staite
Publisher : Cambridge University Press
Page : 224 pages
File Size : 50,69 MB
Release : 2023-12-31
Category : Mathematics
ISBN : 1009400207
Schemes in algebraic geometry can have singular points, whereas differential geometers typically focus on manifolds which are nonsingular. However, there is a class of schemes, 'C∞-schemes', which allow differential geometers to study a huge range of singular spaces, including 'infinitesimals' and infinite-dimensional spaces. These are applied in synthetic differential geometry, and derived differential geometry, the study of 'derived manifolds'. Differential geometers also study manifolds with corners. The cube is a 3-dimensional manifold with corners, with boundary the six square faces. This book introduces 'C∞-schemes with corners', singular spaces in differential geometry with good notions of boundary and corners. They can be used to define 'derived manifolds with corners' and 'derived orbifolds with corners'. These have applications to major areas of symplectic geometry involving moduli spaces of J-holomorphic curves. This work will be a welcome source of information and inspiration for graduate students and researchers working in differential or algebraic geometry.
Author : Vladimir Dotsenko
Publisher : Cambridge University Press
Page : 187 pages
File Size : 46,79 MB
Release : 2023-08-31
Category : Mathematics
ISBN : 1108965644
Covering an exceptional range of topics, this text provides a unique overview of the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.
