Algebraic geometry Books
Princeton University Press On the Cohomology of Certain NonCompact Shimura
Book SynopsisStudies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. The author also uses the method developed by Langlands, Ihara, and Kottwitz, which is to compare the Grothendieck-Lefschetz fixed point formula and the Arthur-Selberg trace formula.Trade Review"This book is a research monograph, yet the author takes care in recalling in detail the relevant notation and previous results instead of just referring to the literature. Also, explicit calculations are given, making the book readable not only for experts but also for interested advanced students."--Eva Viehmann, Mathematical ReviewsTable of ContentsPreface vii Chapter 1: The fixed point formula 1 Chapter 2: The groups 31 Chapter 3: Discrete series 47 Chapter 4: Orbital integrals at p 63 Chapter 5: The geometric side of the stable trace formula 79 Chapter 6: Stabilization of the fixed point formula 85 Chapter 7: Applications 99 Chapter 8: The twisted trace formula 119 Chapter 9: The twisted fundamental lemma 157 Appendix: Comparison of two versions of twisted transfer factors 189 Bibliography 207 Index 215
£49.30
Princeton University Press MumfordTate Groups and Domains
Book SynopsisMumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book provides a comprehensive exploration of Mumford-Tate groups and domains.Trade Review"The brilliance of the results and their broad spectrum of their applications makes this book an outstanding piece. Yet, there is more to write and to develop: the authors suggest the existence of future lines of research for a next book."--Jonathan Sanchez Hernandez, European Mathematical SocietyTable of ContentsIntroduction 1 I Mumford-Tate Groups 28 I.A Hodge structures 28 I.B Mumford-Tate groups 32 I.C Mixed Hodge structures and their Mumford-Tate groups 38 II Period Domains and Mumford-Tate Domains 45 II.A Period domains and their compact duals 45 II.B Mumford-Tate domains and their compact duals 55 II.C Noether-Lefschetz loci in period domains 61 III The Mumford-Tate Group of a Variation of Hodge Structure 67 III.A The structure theorem for variations of Hodge structures 69 III.B An application of Mumford-Tate groups 78 III.C Noether-Lefschetz loci and variations of Hodge structure .81 IV Hodge Representations and Hodge Domains 85 IV.A Part I: Hodge representations 86 IV.B The adjoint representation and characterization of which weights give faithful Hodge representations 109 IV.C Examples: The classical groups 117 IV.D Examples: The exceptional groups 126 IV.E Characterization of Mumford-Tate groups 132 IV.F Hodge domains 149 IV.G Mumford-Tate domains as particular homogeneous complex manifolds 168 Appendix: Notation from the structure theory of semisimple Lie algebras 179 V Hodge Structures with Complex Multiplication 187 V.A Oriented number fields 189 V.B Hodge structures with special endomorphisms 193 V.C A categorical equivalence 196 V.D Polarization and Mumford-Tate groups . 198 V.E An extended example 202 V.F Proofs of Propositions V.D.4 and V.D.5 in the Galois case 209 VI Arithmetic Aspects of Mumford-Tate Domains 213 VI.A Groups stabilizing subsets of D 215 VI.B Decomposition of Noether-Lefschetz into Hodge orientations 219 VI.C Weyl groups and permutations of Hodge orientations 231 VI.D Galois groups and fields of definition 234 Appendix: CM points in unitary Mumford-Tate domains 239 VII Classification of Mumford-Tate Subdomains 240 VII.A A general algorithm 240 VII.B Classification of some CM-Hodge structures 243 VII.C Determination of sub-Hodge-Lie-algebras 246 VII.D Existence of domains of type IV(f) 251 VII.E Characterization of domains of type IV(a) and IV(f) 253 VII.F Completion of the classification for weight 3 256 VII.G The weight 1 case 260 VII.H Algebro-geometric examples for the Noether-Lefschetzlocus types 265 VIII Arithmetic of Period Maps of Geometric Origin 269 VIII.A Behavior of fields of definition under the period Map -- image and preimage 270 VIII.B Existence and density of CM points in motivic VHS 275 Bibliography 277 Index 287
£170.00
Princeton University Press MumfordTate Groups and Domains
Book SynopsisMumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book provides a comprehensive exploration of Mumford-Tate groups and domains.Trade Review"The brilliance of the results and their broad spectrum of their applications makes this book an outstanding piece. Yet, there is more to write and to develop: the authors suggest the existence of future lines of research for a next book."--Jonathan Sanchez Hernandez, European Mathematical SocietyTable of ContentsIntroduction 1 I Mumford-Tate Groups 28 I.A Hodge structures 28 I.B Mumford-Tate groups 32 I.C Mixed Hodge structures and their Mumford-Tate groups 38 II Period Domains and Mumford-Tate Domains 45 II.A Period domains and their compact duals 45 II.B Mumford-Tate domains and their compact duals 55 II.C Noether-Lefschetz loci in period domains 61 III The Mumford-Tate Group of a Variation of Hodge Structure 67 III.A The structure theorem for variations of Hodge structures 69 III.B An application of Mumford-Tate groups 78 III.C Noether-Lefschetz loci and variations of Hodge structure .81 IV Hodge Representations and Hodge Domains 85 IV.A Part I: Hodge representations 86 IV.B The adjoint representation and characterization of which weights give faithful Hodge representations 109 IV.C Examples: The classical groups 117 IV.D Examples: The exceptional groups 126 IV.E Characterization of Mumford-Tate groups 132 IV.F Hodge domains 149 IV.G Mumford-Tate domains as particular homogeneous complex manifolds 168 Appendix: Notation from the structure theory of semisimple Lie algebras 179 V Hodge Structures with Complex Multiplication 187 V.A Oriented number fields 189 V.B Hodge structures with special endomorphisms 193 V.C A categorical equivalence 196 V.D Polarization and Mumford-Tate groups . 198 V.E An extended example 202 V.F Proofs of Propositions V.D.4 and V.D.5 in the Galois case 209 VI Arithmetic Aspects of Mumford-Tate Domains 213 VI.A Groups stabilizing subsets of D 215 VI.B Decomposition of Noether-Lefschetz into Hodge orientations 219 VI.C Weyl groups and permutations of Hodge orientations 231 VI.D Galois groups and fields of definition 234 Appendix: CM points in unitary Mumford-Tate domains 239 VII Classification of Mumford-Tate Subdomains 240 VII.A A general algorithm 240 VII.B Classification of some CM-Hodge structures 243 VII.C Determination of sub-Hodge-Lie-algebras 246 VII.D Existence of domains of type IV(f) 251 VII.E Characterization of domains of type IV(a) and IV(f) 253 VII.F Completion of the classification for weight 3 256 VII.G The weight 1 case 260 VII.H Algebro-geometric examples for the Noether-Lefschetzlocus types 265 VIII Arithmetic of Period Maps of Geometric Origin 269 VIII.A Behavior of fields of definition under the period Map -- image and preimage 270 VIII.B Existence and density of CM points in motivic VHS 275 Bibliography 277 Index 287
£74.80
Princeton University Press NonArchimedean Tame Topology and Stably Dominated
Book SynopsisOver the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness and uniformity statements and new structural tools. For non-archimedTrade Review"A major achievement, both in rigid algebraic geometry, and as an application of model-theoretic and stability-theoretic methods to algebraic geometry."---Anand Pillay, MathSciNetTable of Contents*Frontmatter, pg. i*Contents, pg. v*1. Introduction, pg. 1*2. Preliminaries, pg. 8*3. The space v of stably dominated types, pg. 37*4. Definable compactness, pg. 57*5. A closer look at the stable completion, pg. 70*6. GAMMA-internal spaces, pg. 76*7. Curves, pg. 92*8. Strongly stably dominated points, pg. 104*9. Specializations and ACV2F, pg. 119*10. Continuity of homotopies, pg. 142*11. The main theorem, pg. 154*12. The smooth case, pg. 177*13. An equivalence of categories, pg. 183*14. Applications to the topology of Berkovich spaces, pg. 187*Bibliography, pg. 207*Index, pg. 211*List of notations, pg. 215
£130.40
Princeton University Press Descent in Buildings
Book SynopsisDescent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving necessary and sufficient conditions for the residues fTrade Review"An impressive tour de force."--Bertrand Remy, Jahresbericht der DMVTable of ContentsPreface xi PART 1. MOUFANG QUADRANGLES 1 Chapter 1. Buildings 3 Chapter 2. Quadratic Forms 13 Chapter 3. Moufang Polygons 23 Chapter 4. Moufang Quadrangles 31 Chapter 5. Linked Tori, I 41 Chapter 6. Linked Tori, II 47 Chapter 7. Quadratic Forms over a Local Field 57 Chapter 8. Quadratic Forms of Type E6, E7 and E8 69 Chapter 9. Quadratic Forms of Type F4 79 PART 2. RESIDUES IN BRUHAT-TITS BUILDINGS 83 Chapter 10. Residues 85 Chapter 11. Unramified Quadrangles of Type E6, E7 and E8 91 Chapter 12. Semi-ramified Quadrangles of Type E6, E7 and E8 93 Chapter 13. Ramified Quadrangles of Type E6, E7 and E8 101 Chapter 14. Quadrangles of Type E6, E7 and E8: Summary 109 Chapter 15. Totally Wild Quadratic Forms of Type E7 115 Chapter 16. Existence 119 Chapter 17. Quadrangles of Type F4 129 Chapter 18. The Other Bruhat-Tits Buildings 137 PART 3. DESCENT 141 Chapter 19. Coxeter Groups 143 Chapter 20. Tits Indices 153 Chapter 21. Parallel Residues 165 Chapter 22. Fixed Point Buildings 181 Chapter 23. Subbuildings 195 Chapter 24. Moufang Structures 205 Chapter 25. Fixed Apartments 217 Chapter 26. The Standard Metric 221 Chapter 27. Affine Fixed Point Buildings 233 PART 4. GALOIS INVOLUTIONS 241 Chapter 28. Pseudo-Split Buildings 243 Chapter 29. Linear Automorphisms 251 Chapter 30. Strictly Semi-linear Automorphisms 259 Chapter 31. Galois Involutions 271 Chapter 32. Unramified Galois Involutions 275 PART 5. EXCEPTIONAL TITS INDICES 285 Chapter 33. Residually Pseudo-Split Buildings 287 Chapter 34. Forms of Residually Pseudo-Split Buildings 297 Chapter 35. Orthogonal Buildings 303 Chapter 36. Indices for the Exceptional Bruhat-Tits Buildings 309 Bibliography 327 Index 333
£63.75
Princeton University Press Classification of Pseudoreductive Groups
Book SynopsisIn the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups. In this new book, Classification of Pseudo-reductive Groups, Conrad and Prasad go further to study the classification over an arbitrary field. An isomorphism theorem proved here determines the autoTrade Review"This book is beautiful and will be at the origin of many advances in the general theory of arbitrary algebraic groups."--Bertrand Remy, MathSciNetTable of Contents*Frontmatter, pg. i*Contents, pg. v*1. Introduction, pg. 1*2. Preliminary notions, pg. 15*3. Field-theoretic and linear-algebraic invariants, pg. 28*4. Central extensions and groups locally of minimal type, pg. 57*5. Universal smooth k-tame central extension, pg. 66*6. Automorphisms, isomorphisms, and Tits classification, pg. 79*7. Constructions with regular degenerate quadratic forms, pg. 108*8. Constructions when PHI has a double bond, pg. 138*9. Generalization of the standard construction, pg. 171*A. Pseudo-isogenies, pg. 181*B. Clifford constructions, pg. 187*C. Pseudo-split and quasi-split forms, pg. 206*D. Basic exotic groups of type F4 of relative rank 2, pg. 230*Bibliography, pg. 239*Index, pg. 241
£63.75
Princeton University Press Fourier Restriction for Hypersurfaces in Three
Book SynopsisTable of Contents*Frontmatter, pg. i*Contents, pg. vii*Chapter 1. Introduction, pg. 1*Chapter 2. Auxiliary Results, pg. 29*Chapter 3. Reduction to Restriction Estimates near the Principal Root Jet, pg. 50*Chapter 4. Restriction for Surfaces with Linear Height below 2, pg. 57*Chapter 5. Improved Estimates by Means of Airy-Type Analysis, pg. 75*Chapter 6. The Case When hlin(PHI) => 2: Preparatory Results, pg. 105*Chapter 7. How to Go beyond the Case hlin(PHI) => 5, pg. 131*Chapter 8. The Remaining Cases Where m = 2 and B = 3 or B = 4, pg. 181*Chapter 9. Proofs of Propositions 1.7 and 1.17, pg. 244*Bibliography, pg. 251*Index, pg. 257
£130.40
Princeton University Press Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra
a huge range and FREE tracked UK delivery on ALL orders.
£63.75
Princeton University Press The Norm Residue Theorem in Motivic Cohomology
Book Synopsis
£63.75
Princeton University Press Eisenstein Cohomology for GLN and the Special
Book Synopsis
£59.50
Princeton University Press What Determines an Algebraic Variety
Book Synopsis
£52.70
Birkhauser Boston Inc Complex Numbers from A to ... Z
a huge range and FREE tracked UK delivery on ALL orders.
£46.74
MP-AMM American Mathematical Introduction to Algebraic Curves
Book SynopsisAlgebraic curves and compact Riemann surfaces comprise the most developed and arguably the most beautiful portion of algebraic geometry. This book provides a foundation to proceed to advanced texts in general algebraic geometry, complex manifolds, and Riemann surfaces, as well as algebraic curves.Table of ContentsFundamental concepts The normalization theorem and its applications The Riemann-Roch theorem Applications of the Riemann-Roch theorem Abel's theorem and its applications.
£131.40
MP-AMM American Mathematical Collected Works of John Tate
Book SynopsisIn these volumes, a reader will find all of John Tate's published mathematical papers-spanning more than six decades-enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.Table of Contents Part I: Fourier analysis in number fields and Hecke's zeta-functions by J. T. Tate A note on finite ring extensions by E. Artin and J. T. Tate On the relation between extremal points of convex sets and homomorphisms of algebras by J. Tate Genus change in inseparable extensions of function fields by J. Tate On Chevalley's proof of Luroth's theorem by S. Lang and J. Tate The higher dimensional cohomology groups of class field theory by J. Tate The cohomology groups of algebraic number fields by J. T. Tate On the Galois cohomology of unramified extensions of function fields in one variable by Y. Kawada and J. Tate On the characters of finite groups by R. Brauer and J. Tate Homology of Noetherian rings and local rings by J. Tate WC-groups over $p$-adic fields by J. Tate On the inequality of Castelnuovo-Severi by E. Artin and J. Tate On the inequality of Castelnuovo-Severi, and Hodge's theorem by J. Tate Principal homogeneous spaces over abelian varieties by S. Lang and J. Tate Principal homogeneous spaces for abelian varieties by J. Tate A different with an odd class by A. Frohlich, J.-P. Serre, and J. Tate Nilpotent quotient groups by J. Tate Duality theorems in Galois cohomology over number fields by J. Tate Ramification groups of local fields by S. Sen and J. Tate Formal complex multiplication in local fields by J. Lubin and J. Tate Algebraic cycles and poles of zeta functions by J. T. Tate Elliptic curves and formal groups by J. Lubin, J. Serre, and J. Tate On the conjectures of Birch and Swinnerton-Dyer and a geometric analog by J. Tate Formal moduli for one-parameter formal Lie groups by J. Lubin and J. Tate The cohomology groups of tori in finite Galois extensions of number fields by J. Tate Global class field theory by J. T. Tate Endomorphisms of abelian varieties over finite fields by J. Tate The rank of elliptic curves by J. T. Tate and I. R. Safarevic Residues of differentials on curves by J. Tate $p$-divisible groups by J. T. Tate The work of David Mumford by J. Tate Classes d'isogenie des varietes abeliennes sur un corps fini (d'apres T. Honda) by J. Tate Good reduction of abelian varieties by J.-P. Serre and J. Tate Group schemes of prime order by J. Tate and F. Oort Symbols in arithmetic by J. Tate Rigid analytic spaces by J. Tate The Milnor ring of a global field by H. Bass and J. Tate Appendix by H. Bass and J. Tate Letter from Tate to Iwasawa on a relation between $K_2$ and Galois cohomology by J. Tate Points of order 13 on elliptic curves by B. Mazur and J. Tate The arithmetic of elliptic curves by J. T. Tate The 1974 Fields Medals (I): An algebraic geometer by J. Tate Algorithm for determining the type of a singular fiber in an elliptic pencil by J. Tate Letters by J. Tate
£139.50
MP-AMM American Mathematical Algebraic Geometry A Problem Solving Approach
Book SynopsisAlgebraic Geometry has been at the centre of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. This text consists of a series of exercises, plus some background information and explanations, starting with conics and ending with sheaves and cohomology.
£47.70
MP-AMM American Mathematical Functions Data and Models An Applied Approach to
Book SynopsisProvides the kind of mathematical knowledge and experiences that students will need for courses in other fields, such as biology, chemistry, business, finance, economics, and other areas that are heavily dependent on data either from laboratory experiments or from other studies. The focus is on the fundamental mathematical concepts and realistic problem-solving via mathematical modelling.Trade Review… On initial viewing, “Functions, Data and Models” may seem like a typical textbook, with all the usual key parts, including appendixes and answers to selected problems in the back of the book. However, on closer examination, readers will see and understand how the eight-chapter work differs from classic algebra books. The detailed preface includes messages for the student, messages for the instructor, and information on the book's philosophy. … The book would be a great resource for any algebra course. Highly recommended." - K.D. Holton, CHOICE Magazine"This textbook certainly sets the hook early when authors explain in the preface that the book's philosophy is to allow students to focus on mathematical ideas, not mathematical calculations. … As the authors point out in the introduction to this text, it contains enough material (in both depth and variety) to cover two semesters' worth of study. On the other hand, the interested instructor could easily design a syllabus covering a limited number of topics from the book to address the needs of a semester-long course. I highly recommend this text to instructors who seek to cultivate creativity and critical thinking in their college-algebra-level students" - Hilary Fletcher, Mathematics and Computer EducationTable of Contents Preface 1. Data Everywhere 2. Functions Everywhere 3. Linear Functions 4. More about Linear Functions 5. Families of Nonlinear Functions 6. Polynomial Functions 7. Extended Families of Functions 8. Modeling Periodic Phenomena Appendices Selected Short Answers About the Authors
£62.10
University of Toronto Press ngons
Book SynopsisThis book, a translation of the German volume n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra in a form that is easily accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear algebra and the algebra of polynomials to a concrete geometrical situation to reveal some rather surprising insights into the geometry of n-gons. The twelve chapters treat n-gons, classes of n-gons, and mapping of the set of n-gons into itself. Exercises are included throughout, and two appendixes, by Henner Kinder and Eckart Schmidt, provide background material on lattices and cyclotomic polynomials.(Mathematical Expositions No. 18)
£19.79
MP-AMM American Mathematical Number Systems An Introduction to Algebra and
Book SynopsisOffers a rigorous and coherent introduction to the five basic number systems of mathematics - natural numbers, integers, rational numbers, real numbers, and complex numbers. The great merit of the book lies in its extensive list of exercises following each chapter. These exercises are designed to assist the instructor and to enhance the learning experience of the students.Table of Contents Natural numbers Integers Rational numbers Real numbers Complex numbers Sets, relations, functions Bibliography Index
£63.00
MP-AMM American Mathematical Mathematics
Book SynopsisTrade ReviewThe book under review contains six chapters that can be read independently, each one surveying one mathematical topic. ... It is carefully written, and it is better than a collection of lecture notes. Such books are needed for students, as a complement to the standard textbooks and to present more specialized applications of classical mathematics. The reviewer wishes there were many more such books." - Athanase Papadopoulos, Zentralblatt MATH"This book has its origins, we are told, in the authors' experiences teaching graduate students in computer science, who needed background in certain mathematical topics. Since these topics were not covered in the basic courses that these students had taken, the authors undertook to introduce them in courses spanning several semesters, the lecture notes of which, suitably expanded, became this text. ... I like expository books, because I think, particularly in these days of increasing specialization, that they serve a valuable purpose, not only for students but also professionals who want to see what's going on in other areas, or who need some background in one area for research in another. This book is a fine example of that genre." - Mark Hunacek, MAA ReviewsTable of Contents Measaure and integral High-dimensional geometry and measure concentration Fourier analysis Representations of finite groups Polynomials Topology Index
£47.70
MP-AMM American Mathematical Tensor Categories
Book SynopsisTrade Review...this book is certainly a must-have for any researcher working in tensor categories or a related field, and is already the standard reference in the subject." - Julien Bichon, AMS BlogsTable of Contents Abelian categories Monoidal categories $\mathbb{Z}_ $-rings Tensor categories Representation categories of Hopf algebras Finite tensor categories Module categories Braided categories Fusion categories Bibliography Index
£103.50
American Mathematical Society Automorphic Forms and Related Topics
Book SynopsisAddresses various aspects of the theory of automorphic forms and its relations with the theory of $L$-functions, the theory of elliptic curves, and representation theory. This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to build bridges to mathematical questions in other fields.Table of Contents S. Anni, A note on the minimal level of realization for a mod $\ell$ eigenvalue system A. Arnold-Roksandich, A discussion on the number eta-quotients of prime level C. Burrin, Dedekind sums, reciprocity, and non-arithmetic groups G. Chinta, I. Horozov, and C. O'Sullivan, Noncommutative modular symbols and Eisenstein series A. Espinosa, An annotated discussion of a panel presentation on improving diversity in mathematics J. S. Friedman, J. Jorgenson, and L. Smajlovic, Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps X. Guitart and M. Masdeu, Computing $p$-adic periods of abelian varieties from automorphic forms A. Haensch and B. Kane, An algebraic and analytic approach to spinor exceptional behavior in translated lattices A. K. Jha and B. Sahu, Differential operators on Jacobi forms and special values of certain Dirichlet series J. Jorgenson and L. Smajlovic, Some results in study of Kronecker limit formula and Dedekind sums D. Kelmer, Equidistribution of shears and their arithmetic applications K. Khuri-Makdisi, Fake proofs for identities involving products of Eisenstein series K. Khuri-Makdisi, Modular forms constructed from moduli of elliptic curves, with applications to explicit models of modular curves B. Kumar, J. Meher, and S. Pujahari, Some remarks on the coefficients of symmetric power $L$-functions J. Li, On primes in arithmetic progressions B. Linowitz and L. Thompson, The Fourier coefficients of Eisenstein series newforms K. Maurischat, Properties of Sturm's formula A. Odzak and L. Sceta, An application of a special form of a Tauberian theorem A. Odzak and L. Sceta, On the zeros of some $L$ functions from the extended Selberg class E. Ozman, Rational points on twisted modular curves B. Ramakrishnan, B. Sahu, and A. K. Singh, On the number of representations of certain quadratic forms in 8 variables M. Roy, Level of Siegel modular forms constructed via $\textrm{sym}^3$ lifting F. Stromberg, Dimension formulas and kernel functions for Hilbert modular forms H. Then, An explicit evaluation of the Hauptmoduli at elliptic points for certain arithmetic groups A. Trbovic, Torsion groups of elliptic curves over quadratic fields S. Wagh, Maass space for lifting from SL(2,$\mathbb{R}$) to GL(2,B) over a division quaternion algebra N. Walji, On the occurrence of large positive Hecke eigenvalues for GL(2) L. H. Walling, Representations by quadratic forms and the Eichler Commutation Relation S. Yamana, Degenerate principal series and Langlands classification.
£102.60
MP-AMM American Mathematical Algebraic Geometry over Cinfty Rings
Book SynopsisExplains the foundations of a version of algebraic geometry in which rings or algebras are replaced by $C^\infty $-rings. As schemes are the basic objects in algebraic geometry, the new basic objects are $C^\infty $-schemes, a category of geometric objects which generalize manifolds and whose morphisms generalize smooth maps.Table of Contents Introduction $C^\infty$-rings The $C^\infty$-ring $C^\infty (X)$ of a manifold $X$ $C^\infty $-ringed spaces and $C^\infty $-schemes Modules over $C^\infty$-rings and $C^\infty $-schemes $C^\infty $-stacks Deligne-Mumford $C^\infty $-stacks Sheaves on Deligne-Mumford $C^\infty $-stacks Orbifold strata of $C^\infty $-stacks Appendix A. Background material on stacks Bibliography Glossary of Notation Index.
£64.80
MP-AMM American Mathematical Groups Algebras and Identities
Book SynopsisExplores various topics of universal algebra, universal algebraic geometry, logic geometry, and algebraic logic, as well as applications of universal algebra to computer science, geometric ring theory, small cancellation theory, and Boolean algebras.Table of Contents A. Atkarskaya, A. Kanel-Belov, E. Plotkin, and E. Rips, Construction of a quotient ring of $\mathbb{Z}_f\mathcal{F}$ in which a binomial $(1+w)$ is invertible using small cancellation methods E. Aladova, Geometric view on homogenous groups E. Aladova and T. Plotkin, Syntax versus semantaics in knowledge bases II J. Cirulis, Polyadic algebras with terms: A signature-free approach R. Lipyanski, Geometric equivalence of $\pi$-torsion-free nilpotent groups R. Lipyanski, On the Zariski topology of $\Omega$-groups B. Plotkin, Seven lectures on universal algebraic geometry A. N. Shevlyakov, New problems in universal algebraic geometry illustrated by Boolean equations.
£103.50
MP-AMM American Mathematical Analytic Methods in Arithmetic Geometry
Book SynopsisContains the proceedings of the Arizona Winter School 2016, held in March 2016 at The University of Arizona. The School provided a unique opportunity to introduce graduate students to analytic methods in arithmetic geometry.Table of Contents A. C. Cojocaru, Primes, elliptic curves and cyclic groups H. A. Helfgott, Growth and expansion in algebraic groups over finite fields E. Fouvry, E. Kowalski, P. Michel, and W. Sawin, Lectures on applied $\ell$-adic cohomology A. V. Sutherland, Sato-Tate distributions.
£102.60
MP-AMM American Mathematical The Invariant Theory of Matrices
Book SynopsisProvides a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a characteristic free approach. More precisely, it contains the description of polynomial functions in several variables on the set of $m\times m$ matrices with coefficients in an infinite field or even the ring of integers, invariant under simultaneous conjugation.Trade ReviewThe present book is a nice and introductory reference to graduate students or researchers who are working in the field of representation and invariant theory." — Yin Chen, Zentralblatt MATH"The choices made by the authors permit them to highlight the main results and also to keep the material within the reach of an interested reader. At the same time, the book remains open-ended with precise pointers to the literature on other approaches and the cases not treated here." — Felipe Zaldivar, MAA ReviewsTable of Contents Introduction and preliminaries The classical theory Quasi-hereditary algebras The Schur algebra Matrix functions and invariants Relations The Schur algebra of a free algebra Bibliography General index Symbol index.
£54.90
MP-AMM American Mathematical Functional Analysis
Book SynopsisFunctional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, and physics. This book provides a comprehensive introduction to the field for graduate students and researchers. With 10 to 20 elaborate exercises at the end of each chapter, this book can be used as a text for a course on functional analysis for beginning graduate students.Table of Contents Foundations Principles of functional analysis The weak and weak* topologies Fredholm theory Spectral theory Unbounded operators Semigroups of operators Zorn and Tychonoff Bibliography Notation Index
£108.00
MP-AMM American Mathematical Arithmetic Geometry
Book SynopsisPresents original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer-Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic groups, and applications of the computation of zeta functions of curves.Table of Contents J. D. Achter and E. W. Howe, Hasse-Witt and Cartier-Manin matrices: A warning and a request M. Hindry, Analogues of Brauer-Siegel theorem in arithmetic geometry J. Javanpeykar and J. Voight, The Belyi degree of a curve is computable N. Kaplan, Weight enumerators of Reed-Muller codes from cubic curves and their duals G. Lachaud, The distribution of the trace in the compact group of type $G_2$ B. Malmskog, R. Pries, and C. Weir, The de Rham cohomology of the Suzuki curves F. Pazuki, Decompositions en hauteurs locales B. Poonen, Using zeta functions to factor polynomials over finite fields J. Sijsling, Canonical models of arithmetic $(1;\infty)$-curves A. V. Sutherland and J. F. Voloch, Maps between curves and arithmetic obstructions.
£103.50
MP-AMM American Mathematical Nonassociative Mathematics and its Applications
Book SynopsisIncludes research papers covering active areas of investigation, survey papers covering Leibniz algebras, self-distributive structures, and rack homology, and a sampling of applications ranging from Yang-Mills theory to the Yang-Baxter equation and Laver tables.Table of Contents A. Anastasiou, L. Borsten, M. J. Duff, A. Marrani, S. Nagy, and M. Zoccali, The mile high magic pyramid M. R. Bremner, Symmetrization of Jordan dialgebras J. S. Carter, V. Lebed, and S. Y. Yang, A prismatic classifying space P. Dehornoy, Some aspects of the SD-world A. Drapal, About Laver tables J. Feldvoss, Leibniz algebras as non-associative algebras M. Greer, Simple right conjugacy closed loops B. Im and J. D. H. Smith, Orthogonality of approximate Latin squares and quasigroups S. Mukherjee and J. H. Przytycki, On the rack homology of graphic quandles A. Nowak, Modules over semisymmetric quasigroups J. D. Phillips, Moufang and commutant elements in magmas S. Pumplun, The multiplicative loops of Jha-Johnson semifields A. Romanowska, Convex sets and barycentric algebras I. Stuhl and P. Vojtechovsky, Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order P. Truini, M. Rios, and A. Marrani, The magic star of exceptional periodicity.
£102.60
MP-AMM American Mathematical Representations of Reductive Groups
Book SynopsisContains the proceedings of the Conference on Representation Theory and Algebraic Geometry, held in honor of Joseph Bernstein, in June 2017, at the Weizmann Institute of Science and The Hebrew University of Jerusalem. The topics reflect the decisive and diverse impact of Bernstein on representation theory in its broadest scope.Table of Contents R. Bezrukavnikov and D. Kazhdan, Character values and Hochschild homology A. Braverman and D. Kazhdan, Schwartz space of parabolic basic affine space and asymptotic Hecke algebras C. J. Bushnell and G. Henniart, Explicit local Jacquet-Langlands correspondence: The non-dyadic wild case T.-H. Chen, D. Gaitsgory, and A. Yom Din, On the Casselman-Jacquet functor W. T. Gan, Periods and theta correspondence D. Gourevitch and S. Sahi, Generalized and degenerate Whittaker quotients and Fourier coefficients C. Gruson and V. Serganova, Geometric approach to the fermionic Fock space, via flag varieties and representations of algebraic (super)groups G. Henniart and M.-F. Vigneras, Representations of a $p$-adic group in characteristic $p$ E. Lapid, On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field G. Lusztig, On the generalized Springer correspondence R. Ollivier and P. Schneider, The modular pro-$p$ Iwahori-Hecke Ext-algebra E. Opdam, Affine Hecke algebras and the conjectures of Hiraga, Ichino and Ikeda on the Plancherel density A. Reznikov, Limiting cycles and periods of Maass forms L. Xiao and X. Zhu, On vector-valued twisted conjugation invariant functions on a group with an appendix by Stephen Donkin C.-B. Zhu, Local theta correspondence and nilpotent invariants
£110.70
MP-AMM American Mathematical Conformal Symmetry Breaking Differential
Book Synopsis
£68.40
MP-AMM American Mathematical Double Affine Hecke Algebras and Congruence
Book Synopsis
£68.40
MP-AMM American Mathematical PaleyWiener Theorems for a pAdic Spherical
Book Synopsis
£68.40
MP-AMM American Mathematical Effective Faithful Tropicalizations Associated to
Book Synopsis
£68.40
MP-AMM American Mathematical A Panorama of Singularities
Book SynopsisContains the proceedings of the conference “A Panorama on Singular Varieties”, held in February 2017, at the University of Seville. The articles cover a wide range of topics in the study of singularities and should be of great value to graduate students and research faculty who have a basic background in the theory of singularities.Table of Contents P. Aluffi and M. Goresky, Pfaffian integrals and invariants of singular varieties J. L. Cisneros-Molina and A. Romano-Velazquez, The real embedding method to study mixed functions A. Dimca and G. Sticlaru, Computing Milnor fiber monodromy for some projective hypersurfaces G.-M. Greuel, Straight equisingular deformations and punctual Hilbert schemes H. A. Hamm, Divisor class groups of singular varieties E. Hironaka, The augmented deformation space of rational maps T. Laszlo and A. Nemethi, On the geometry of strongly flat semigroups and their generalizations D. B. Massey, Characteristic cycles and the relative local Euler obstruction L. Narvaez Macarro, Hasse-Schmidt derivations versus classical derivations M. Oka, On the connectivity of Milnor fiber for mixed functions J. E. Sampaio, Some classes of homeomorphisms that preserve multiplicity and tangent cones J.-P. Teyssier, Higher dimensional Stokes structures are rare.
£94.50
American Mathematical Society Sets Groups and Mappings An Introduction to
Book SynopsisIntroduces the world of advanced mathematics using algebraic structures as a unifying theme. Having no prerequisites beyond precalculus and an interest in abstract reasoning, the book is suitable for students who are looking for an entry into discrete mathematics, induction and recursion, groups and symmetry, and plane geometry.Table of Contents Logic and proofs An introduction to sets The integers Mappings and relations Induction and recursion Binary operations Groups Divisibility and congruences Primes Multiplicative inverses of residue classes Linear transformations Isomorphism The symmetric group Examples of finite groups Cosets Homomorphisms Group actions Euclidean geometry Euler's formula Index
£71.10
MP-AMM American Mathematical Field Theory and Its Classical Problems
Book SynopsisAllows Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the construction of regular $n$-gons and the properties of roots of unity, and then on to the solvability of polynomial equations by radicals and beyond.Trade ReviewThe presented book is a clear and concise introduction to classical results of Galois theory. The book is an excellent reading for everyone, especially for instructors and first year graduate students in Galois theory."" - Acta. Sci. Math.
£60.30
MP-AMM American Mathematical Intense Automorphisms of Finite Groups
Book SynopsisIn this paper the authors classify the finite p-groups whose groups of intense automorphisms are not themselves p-groups. It emerges that the structure of such groups is almost completely determined by their nilpotency class: for p > 3, they share a quotient, growing with their class, with a uniquely determined infinite 2-generated pro-p group.
£67.50
MP-AMM American Mathematical Tensors Asymptotic Geometry and Developments
Book SynopsisTensors are used throughout the sciences, especially in solid state physics and quantum information theory. This book brings a geometric perspective to the use of tensors in these areas. Numerous open problems appropriate for graduate students and post-docs are included throughout.Table of Contents Basics: Motivation, first definitions and properties Tensors via linear algebra: Rank and border rank Tensor networks The asymptotic geometry of tensors: Detour into probability and information theory Strassen's laser method and spectral theory Quantum mechanics for quantum information theory Quantum information theory and the asymptotic geometry of tensors Moment maps and moment polytopes Hints and answers to selected exercises Bibliography Index.
£45.90
MP-AMM American Mathematical Advances in Representation Theory of Algebras
Book SynopsisPapers in this volume cover theory, tame algebras, and the use of quadratic forms in representation theory. Also included are papers on the categorical approach to representations of algebras and relations to Lie theory, Cohen-Macaulay modules, quantum groups and other algebraic structures.Table of Contents Lectures on split-by-nilpotent extensions; A note on sequential walks; A characterization of representation infinite quiver settings; Dualities for modules of finite projective dimension; Frieze varieties are invariant under Coxeter mutation; On tame strongly simply connected algebras; A remark on Hochschild cohomology and Koszul duality; Thick subcategories of the stable category of modules over the exterior algebra; Finite direct sums of cyclic embeddings; The algebraic theory of Fuchsian singularities; Cycle-finite modules over Artin algebras; Piecewise hereditary incidence algebras; Derived categories of gentle algebras and surface dissections; Socle deformations of selfinjective orbit algebras of tilted type.
£96.30
MP-AMM American Mathematical Rings with Polynomial Identities and Finite
Book SynopsisA polynomial identity for an algebra (or a ring) $A$ is a polynomial in noncommutative variables that vanishes under any evaluation in $A$. An algebra satisfying a nontrivial polynomial identity is called a PI algebra, and this is the main object of study in this book, which can be used by graduate students and researchers alike.Table of Contents Introduction Foundations: Noncommutative algebra Universal algebra Symmetric functions and matrix invariants Polynomial maps Azumaya algebras and irreducible representations Tensor symmetry Combinatorial aspects of polynomial identities: Growth Shirshov's theorem $2\times2$ matrices The structure theorems Matrix identities Structure theorems Invariants and trace identities Involutions and matrices A geometric approach Spectrum and dimension The relatively free algebras: The nilpotent radical Finite-dimensional and affine PI algebras The relatively free algebras Identities and superalgebras The Specht problem The PI-exponent Codimension growth for matrices Codimension growth for algebras satisfying a Capelli identity The Golod-Shafarevich counterexamples Bibliography Index Index of Symbols.
£78.30
MP-AMM American Mathematical The Canonical Ring of a Stacky Curve
Book Synopsis
£67.50
MP-AMM American Mathematical A Study in Derived Algebraic Geometry Volume II
Book SynopsisDerived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume develops deformation theory, Lie theory and the theory of algebroids in the context of derived algebraic geometry.Table of Contents Inf-schemes: Introduction Deformation theory Ind-schemes and inf-schemes Ind-coherent sheaves on ind-inf-schemes An application: Crystals Formal geometry: Introduction Formal moduli Lie algebras and co-commutative co-algebras Formal groups and Lie algebras Lie algebroids Infinitesimal differential geometry Bibliography Index of notations Index.
£101.70
MP-AMM American Mathematical Coefficient Systems on the BruhatTits Building
Book SynopsisIn general, this volume gives a description of the derived category of H-modules in terms of smooth G-representations and yields a functor to generalized (?, ?)-modules extending the constructions of Colmez, Schneider and Vigneras.
£67.50
American Mathematical Society Mackey Profunctors
Book SynopsisView the abstract.
£63.90
MP-AMM American Mathematical Planar Algebras in Braided Tensor Categories
Book SynopsisView the abstract.
£68.40
American Mathematical Society Iwasawa Theory and Its Perspective Volume 1
Book SynopsisThe goal of this publication is to explain the theory of ideal class groups, including its algebraic aspect (the Iwasawa class number formula), its analytic aspect (Leopoldt-Kubota $L$-functions), and the Iwasawa main conjecture, which is a bridge between the algebraic and the analytic aspects.Table of Contents Motivation and utility of Iwasawa theory $\mathbb{Z}_p$-extension and Iwasawa algebra Cyclotomic Iwasawa theory for ideal class groups Bookguide Appendix A References Index
£96.30
MP-AMM American Mathematical Local Coefficients and Gamma Factors for
Book SynopsisView the abstract.
£68.40
MP-AMM American Mathematical Singularities Mirror Symmetry and the Gauged
Book SynopsisContains the proceedings of the workshop ‘Crossing the Walls in Enumerative Geometry’, held in May 2018. The volume features a collection of both expository and research articles about mirror symmetry, quantized singularity theory (FJRW theory), and the gauged linear sigma model.Table of Contents R. Webb, Quasimaps and some examples of stacks for everybody E. Clader, Introduction to the gauged linear sigma model D. Ross, Localization and mirror symmetry W.-P. Li, A brief introduction to cosection localization and $P$-fields M. Shoemaker, Virtual classes for hypersurfaces via two-periodic complexes J. Oh, Localized Chern characters for 2-periodic complexes and virtual cycles T. Milanov, Singularity theory and mirror symmetry U. Whitcher, Counting points with Berglund-Hubsch-Kravitz mirror symmetry H. Fan and Y.-P. Lee, Variations on the theme of quantum Lefschetz R. Mi, Type II extremal transitions in Gromov-Witten theory C.-C. M. Liu, A lecture on holomorphic anomaly equations and extended holomorphic anomaly equation
£96.30
