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Author : James Lepowsky,John McKay,Michael P. Tuite
Publisher : Unknown
Page : 403 pages
File Size : 55,8 Mb
Release : 2010
Category : Group theory
ISBN : 1107202531
Examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.
Author : James Lepowsky,John McKay,Michael P. Tuite
Publisher : Cambridge University Press
Page : 415 pages
File Size : 55,5 Mb
Release : 2010-06-03
Category : Mathematics
ISBN : 9780521106641
This volume examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.
Author : Mark Hagen,Richard Webb,Henry Wilton
Publisher : Cambridge University Press
Page : 242 pages
File Size : 51,9 Mb
Release : 2019-07-11
Category : Mathematics
ISBN : 9781108447294
Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.
Author : Maria Gorelik,Paolo Papi
Publisher : Springer Science & Business
Page : 281 pages
File Size : 45,6 Mb
Release : 2014-04-28
Category : Mathematics
ISBN : 9783319029528
The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in 2012. The conference gathered many specialists in the subject, and the talks held provided comprehensive insights into the newest trends in research on Lie superalgebras (and related topics like vertex algebras, representation theory and supergeometry). The book contains contributions of many leading esperts in the field and provides a complete account of the newest trends in research on Lie Superalgebras.
Author : Bernhard Heim,Mehiddin Al-Baali,Tomoyoshi Ibukiyama,Florian Rupp
Publisher : Springer
Page : 242 pages
File Size : 54,9 Mb
Release : 2014-11-19
Category : Mathematics
ISBN : 9783319113524
This edited volume presents a collection of carefully refereed articles covering the latest advances in Automorphic Forms and Number Theory, that were primarily developed from presentations given at the 2012 “International Conference on Automorphic Forms and Number Theory,” held in Muscat, Sultanate of Oman. The present volume includes original research as well as some surveys and outlines of research altogether providing a contemporary snapshot on the latest activities in the field and covering the topics of: Borcherds products Congruences and Codes Jacobi forms Siegel and Hermitian modular forms Special values of L-series Recently, the Sultanate of Oman became a member of the International Mathematical Society. In view of this development, the conference provided the platform for scientific exchange and collaboration between scientists of different countries from all over the world. In particular, an opportunity was established for a close exchange between scientists and students of Germany, Oman, and Japan. The conference was hosted by the Sultan Qaboos University and the German University of Technology in Oman.
Author : Yang-Hui He
Publisher : Springer Nature
Page : 214 pages
File Size : 55,8 Mb
Release : 2021-07-31
Category : Mathematics
ISBN : 9783030775629
Can artificial intelligence learn mathematics? The question is at the heart of this original monograph bringing together theoretical physics, modern geometry, and data science. The study of Calabi–Yau manifolds lies at an exciting intersection between physics and mathematics. Recently, there has been much activity in applying machine learning to solve otherwise intractable problems, to conjecture new formulae, or to understand the underlying structure of mathematics. In this book, insights from string and quantum field theory are combined with powerful techniques from complex and algebraic geometry, then translated into algorithms with the ultimate aim of deriving new information about Calabi–Yau manifolds. While the motivation comes from mathematical physics, the techniques are purely mathematical and the theme is that of explicit calculations. The reader is guided through the theory and provided with explicit computer code in standard software such as SageMath, Python and Mathematica to gain hands-on experience in applications of artificial intelligence to geometry. Driven by data and written in an informal style, The Calabi–Yau Landscape makes cutting-edge topics in mathematical physics, geometry and machine learning readily accessible to graduate students and beyond. The overriding ambition is to introduce some modern mathematics to the physicist, some modern physics to the mathematician, and machine learning to both.
Author : Alexei Skorobogatov
Publisher : Cambridge University Press
Page : 470 pages
File Size : 46,7 Mb
Release : 2013-04-18
Category : Mathematics
ISBN : 9781107616127
Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.
Author : Joppe Bos,Martijn Stam
Publisher : Unknown
Page : 402 pages
File Size : 49,7 Mb
Release : 2021-12-09
Category : Language Arts & Disciplines
ISBN : 9781108848428
The area of computational cryptography is dedicated to the development of effective methods in algorithmic number theory that improve implementation of cryptosystems or further their cryptanalysis. This book is a tribute to Arjen K. Lenstra, one of the key contributors to the field, on the occasion of his 65th birthday, covering his best-known scientific achievements in the field. Students and security engineers will appreciate this no-nonsense introduction to the hard mathematical problems used in cryptography and on which cybersecurity is built, as well as the overview of recent advances on how to solve these problems from both theoretical and practical applied perspectives. Beginning with polynomials, the book moves on to the celebrated Lenstra-Lenstra-Lovász lattice reduction algorithm, and then progresses to integer factorization and the impact of these methods to the selection of strong cryptographic keys for usage in widely used standards.
Author : Bangming Deng,Jie Du,Qiang Fu
Publisher : Cambridge University Press
Page : 217 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781139789936
The theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur–Weyl theory. To begin, various algebraic structures are discussed, including double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. The rest of the book investigates the affine quantum Schur–Weyl duality on three levels. This includes the affine quantum Schur–Weyl reciprocity, the bridging role of affine q-Schur algebras between representations of the quantum loop algebras and those of the corresponding affine Hecke algebras, presentation of affine quantum Schur algebras and the realisation conjecture for the double Ringel–Hall algebra with a proof of the classical case. This text is ideal for researchers in algebra and graduate students who want to master Ringel–Hall algebras and Schur–Weyl duality.
Author : Ron Donagi,Tony Shaska
Publisher : Cambridge University Press
Page : 421 pages
File Size : 53,5 Mb
Release : 2020-04-02
Category : Mathematics
ISBN : 9781108715744
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
Author : Edgard A. Pimentel
Publisher : Cambridge University Press
Page : 203 pages
File Size : 53,5 Mb
Release : 2022-09-29
Category : Mathematics
ISBN : 9781009096669
A modern account of elliptic regularity theory, with a rigorous presentation of recent developments for fundamental models.
Author : Mircea Sofonea,Andaluzia Matei
Publisher : Cambridge University Press
Page : 295 pages
File Size : 53,6 Mb
Release : 2012-09-13
Category : Science
ISBN : 9781139577205
This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including contact of piezoelectric materials. Particular attention is paid to the study of history-dependent quasivariational inequalities and to their applications in the study of contact problems with unilateral constraints. The book fully illustrates the cross-fertilisation between modelling and applications on the one hand and nonlinear mathematical analysis on the other. Indeed, the reader will gain an understanding of how new and nonstandard models in contact mechanics lead to new types of variational inequalities and, conversely, how abstract results concerning variational inequalities can be applied to prove the unique solvability of the corresponding contact problems.
Author : Fosco Loregian
Publisher : Cambridge University Press
Page : 331 pages
File Size : 50,6 Mb
Release : 2021-07-22
Category : Mathematics
ISBN : 9781108746120
This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.
Author : Mohamed Ben Ayed,Mohamed Ali Jendoubi,Yomna Rébaï,Hasna Riahi,Hatem Zaag
Publisher : Cambridge University Press
Page : 471 pages
File Size : 42,5 Mb
Release : 2019-05-02
Category : Mathematics
ISBN : 9781108431637
Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.
Author : Paolo Aluffi,David Anderson,Milena Hering,Mircea Mustaţă,Sam Payne
Publisher : Cambridge University Press
Page : 395 pages
File Size : 54,8 Mb
Release : 2022-04-07
Category : Mathematics
ISBN : 9781108792516
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
