Moonshine - The First Quarter Century and Beyond

Moonshine - The First Quarter Century and Beyond PDF Author: James Lepowsky
Publisher: Cambridge University Press
ISBN: 0521106648
Category : Mathematics
Languages : en
Pages : 415

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Book Description
This volume examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.

Moonshine - The First Quarter Century and Beyond

Moonshine - The First Quarter Century and Beyond PDF Author: James Lepowsky
Publisher: Cambridge University Press
ISBN: 0521106648
Category : Mathematics
Languages : en
Pages : 415

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Book Description
This volume examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.

Differential Geometry in the Large

Differential Geometry in the Large PDF Author: Owen Dearricott
Publisher: Cambridge University Press
ISBN: 1108879993
Category : Mathematics
Languages : en
Pages : 402

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Book Description
The 2019 'Australian-German Workshop on Differential Geometry in the Large' represented an extraordinary cross section of topics across differential geometry, geometric analysis and differential topology. The two-week programme featured talks from prominent keynote speakers from across the globe, treating geometric evolution equations, structures on manifolds, non-negative curvature and Alexandrov geometry, and topics in differential topology. A joy to the expert and novice alike, this proceedings volume touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and Kähler and Sasaki geometry.

The Genesis of the Langlands Program

The Genesis of the Langlands Program PDF Author: Julia Mueller
Publisher: Cambridge University Press
ISBN: 1108619959
Category : Mathematics
Languages : en
Pages : 452

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Book Description
Robert Langlands formulated his celebrated conjectures, initiating the Langlands Program, at the age of 31, profoundly changing the landscape of mathematics. Langlands, recipient of the Abel Prize, is famous for his insight in discovering links among seemingly dissimilar objects, leading to astounding results. This book is uniquely designed to serve a wide range of mathematicians and advanced students, showcasing Langlands' unique creativity and guiding readers through the areas of Langlands' work that are generally regarded as technical and difficult to penetrate. Part 1 features non-technical personal reflections, including Langlands' own words describing how and why he was led to formulate his conjectures. Part 2 includes survey articles of Langlands' early work that led to his conjectures, and centers on his principle of functoriality and foundational work on the Eisenstein series, and is accessible to mathematicians from other fields. Part 3 describes some of Langlands' contributions to mathematical physics.

Analysis and Geometry on Graphs and Manifolds

Analysis and Geometry on Graphs and Manifolds PDF Author: Matthias Keller
Publisher: Cambridge University Press
ISBN: 1108713181
Category : Mathematics
Languages : en
Pages : 493

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Book Description
A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.

Mathematical Aspects of Fluid Mechanics

Mathematical Aspects of Fluid Mechanics PDF Author: James C. Robinson
Publisher: Cambridge University Press
ISBN: 1107609259
Category : Mathematics
Languages : en
Pages : 275

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Book Description
A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.

Computational Cryptography

Computational Cryptography PDF Author: Joppe Bos
Publisher: Cambridge University Press
ISBN: 1108795935
Category : Language Arts & Disciplines
Languages : en
Pages : 400

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Book Description
A guide to cryptanalysis and the implementation of cryptosystems, written for students and security engineers by leading experts.

Invariance of Modules under Automorphisms of their Envelopes and Covers

Invariance of Modules under Automorphisms of their Envelopes and Covers PDF Author: Ashish K. Srivastava
Publisher: Cambridge University Press
ISBN: 1108949533
Category : Mathematics
Languages : en
Pages : 235

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Book Description
Provides a unified treatment of the study of modules invariant under automorphisms of their envelopes and covers.

Topological Methods in Group Theory

Topological Methods in Group Theory PDF Author: N. Broaddus
Publisher: Cambridge University Press
ISBN: 1108530508
Category : Mathematics
Languages : en
Pages : 211

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Book Description
This volume collects the proceedings of the conference 'Topological methods in group theory', held at Ohio State University in 2014 in honor of Ross Geoghegan's 70th birthday. It consists of eleven peer-reviewed papers on some of the most recent developments at the interface of topology and geometric group theory. The authors have given particular attention to clear exposition, making this volume especially useful for graduate students and for mathematicians in other areas interested in gaining a taste of this rich and active field. A wide cross-section of topics in geometric group theory and topology are represented, including left-orderable groups, groups defined by automata, connectivity properties and Σ-invariants of groups, amenability and non-amenability problems, and boundaries of certain groups. Also included are topics that are more geometric or topological in nature, such as the geometry of simplices, decomposition complexity of certain groups, and problems in shape theory.

Groups, Graphs and Random Walks

Groups, Graphs and Random Walks PDF Author: Tullio Ceccherini-Silberstein
Publisher: Cambridge University Press
ISBN: 1316817784
Category : Mathematics
Languages : en
Pages : 539

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Book Description
An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the strong connections of the theory with other branches of mathematics, including geometric and combinatorial group theory, potential analysis, and theoretical computer science. This volume brings together original surveys and research-expository papers from renowned and leading experts, many of whom spoke at the workshop 'Groups, Graphs and Random Walks' celebrating the sixtieth birthday of Wolfgang Woess in Cortona, Italy. Topics include: growth and amenability of groups; Schrödinger operators and symbolic dynamics; ergodic theorems; Thompson's group F; Poisson boundaries; probability theory on buildings and groups of Lie type; structure trees for edge cuts in networks; and mathematical crystallography. In what is currently a fast-growing area of mathematics, this book provides an up-to-date and valuable reference for both researchers and graduate students, from which future research activities will undoubtedly stem.

Surveys in Combinatorics 2021

Surveys in Combinatorics 2021 PDF Author: Konrad K. Dabrowski
Publisher: Cambridge University Press
ISBN: 1009041819
Category : Mathematics
Languages : en
Pages : 380

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Book Description
This volume contains nine survey articles based on plenary lectures given at the 28th British Combinatorial Conference, hosted online by Durham University in July 2021. This biennial conference is a well-established international event, attracting speakers from around the world. Written by some of the foremost researchers in the field, these surveys provide up-to-date overviews of several areas of contemporary interest in combinatorics. Topics discussed include maximal subgroups of finite simple groups, Hasse–Weil type theorems and relevant classes of polynomial functions, the partition complex, the graph isomorphism problem, and Borel combinatorics. Representing a snapshot of current developments in combinatorics, this book will be of interest to researchers and graduate students in mathematics and theoretical computer science.