Asymptotic, Algebraic and Geometric Aspects of Integrable Systems

Asymptotic, Algebraic and Geometric Aspects of Integrable Systems
Author: Frank Nijhoff
Publisher: Springer Nature
Total Pages: 240
Release: 2020-10-23
Genre: Mathematics
ISBN: 3030570002

This proceedings volume gathers together selected works from the 2018 “Asymptotic, Algebraic and Geometric Aspects of Integrable Systems” workshop that was held at TSIMF Yau Mathematical Sciences Center in Sanya, China, honoring Nalini Joshi on her 60th birthday. The papers cover recent advances in asymptotic, algebraic and geometric methods in the study of discrete integrable systems. The workshop brought together experts from fields such as asymptotic analysis, representation theory and geometry, creating a platform to exchange current methods, results and novel ideas. This volume's articles reflect these exchanges and can be of special interest to a diverse group of researchers and graduate students interested in learning about current results, new approaches and trends in mathematical physics, in particular those relevant to discrete integrable systems.

Algebraic and Geometric Aspects of Integrable Systems and Random Matrices

Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
Author: Anton Dzhamay
Publisher: American Mathematical Soc.
Total Pages: 363
Release: 2013-06-26
Genre: Mathematics
ISBN: 0821887475

This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA. The very wide range of topics represented in this volume illustrates

Integrable Systems and Algebraic Geometry

Integrable Systems and Algebraic Geometry
Author: Ron Donagi
Publisher: Cambridge University Press
Total Pages: 421
Release: 2020-04-02
Genre: Mathematics
ISBN: 1108715745

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

Asymptotic Combinatorics with Application to Mathematical Physics

Asymptotic Combinatorics with Application to Mathematical Physics
Author: V.A. Malyshev
Publisher: Springer Science & Business Media
Total Pages: 335
Release: 2012-12-06
Genre: Science
ISBN: 9401005753

New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, and even some aspects of quantum field theory.

Mathematics Unlimited - 2001 and Beyond

Mathematics Unlimited - 2001 and Beyond
Author: Björn Engquist
Publisher: Springer
Total Pages: 1219
Release: 2017-04-05
Genre: Mathematics
ISBN: 364256478X

This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future de- velopment as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to in- clude contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Björn Eng- quist, is a world-renowned researcher in computational sci- ence and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewi- se the authors are all foremost mathematicians and scien- tists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still choosing their specialty. Limited collector's edition - an exclusive and timeless work. This special, numbered edition will be available until June 1, 2000. Firm orders only.

Surveys in Combinatorics 2022

Surveys in Combinatorics 2022
Author: Anthony Nixon
Publisher: Cambridge University Press
Total Pages: 257
Release: 2022-06-09
Genre: Mathematics
ISBN: 1009096222

This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.

C∞-Algebraic Geometry with Corners

C∞-Algebraic Geometry with Corners
Author: Kelli Francis-Staite
Publisher: Cambridge University Press
Total Pages: 224
Release: 2023-12-31
Genre: 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.

Computational Cryptography

Computational Cryptography
Author: Joppe Bos
Publisher: Cambridge University Press
Total Pages: 400
Release: 2021-12-02
Genre: Language Arts & Disciplines
ISBN: 1108795935

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

Recent Developments in Algebraic Geometry

Recent Developments in Algebraic Geometry
Author: Hamid Abban
Publisher: Cambridge University Press
Total Pages: 368
Release: 2022-09-30
Genre: Mathematics
ISBN: 1009190822

Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.

Quantum Theory and Symmetries

Quantum Theory and Symmetries
Author: M. B. Paranjape
Publisher: Springer Nature
Total Pages: 670
Release: 2021
Genre: Electronic books
ISBN: 3030557774

This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .