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 Aktosun, Tuncay, author.
 Cham, Switzerland : Springer, [2021]
 Description
 Book — xiii, 624 pages : illustrations ; 25 cm
 Summary

 The matrix Schroedinger equation and the characterization of the scattering data. Direct scattering I. Direct scattering II. Inverse scattering. Some explicit examples. Mathematical preliminaries.
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QA329 .A38 2021  Unavailable In process 
 Fan, Zhaobing, author.
 Providence, RI : American Mathematical Society, [2020]
 Description
 Book — v, 123 pages ; 26 cm
 Summary

 Constructions in affine type A
 Lattice presentation of affine flag varieties of type C
 Multiplication formulas for Chevalley generators
 Coideal algebra type structures of Schur algebras and Lusztig algebras
 Realization of the idempotented coideal subalgebra Uc/n of U(sln)
 A second coideal subalgebra of quantum affine sln
 More variants of coideal subalgebras of quantum affine sln
 The stabilization algebra Kc/n arising from Schur algebras
 Stabilization algebras arising from other Schur algebras
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Shelved by Series title NO.1285  Unavailable In process 
3. Applications of polynomial systems [2020]
 Cox, David A., author.
 Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2020]
 Description
 Book — ix, 250 pages : illustrations (some color) ; 26 cm
 Summary

 Elimination theory Numerical algebraic geometry Geometric modeling Rigidity theory Chemical reaction networks Illustration credits Bibliography Index.
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QA1 .R33 NO.134  Unknown 
 Bortolan, Matheus C. (Matheus Cheque), 1985 author.
 Providence, Rhode Island : American Mathematical Society, [2020]
 Description
 Book — ix, 246 pages : illustrations ; 27 cm
 Summary

 Autonomous theory: Semigroups and global attractors Upper and lower semicontinuity Topological structural stability of attractors Neighborhood of a critical element MorseSmale semigroups Nonautonomous theory: Nonautonomous dynamical systems and their attractors Upper and lower semicontinuity Topological structural stability Neighborhood of a global hyperbolic solution Nonautonomous MorseSmale dynamical systems Bibliography List of figures Index.
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QA3 .A4 V.246  Unknown 
5. Basic representation theory of algebras [2020]
 Assem, Ibrahim, author.
 Cham, Switzerland : Springer Nature Switzerland AG, [2020]
 Description
 Book — x, 311 pages ; 24 cm
 Summary

 Introduction.
 Chapter 1: Modules, algebras and quivers.
 Chapter 2: The radical and almost split sequences.
 Chapter 3: Constructing almost split sequences.
 Chapter 4: The AuslanderReiten quiver of an algebra.
 Chapter 5: Endomorphism algebras.
 Chapter 6: Representationfinite algebras. Bibliography. Index.
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QA176 .A87 2020  Unavailable In process 
6. Berkeley lectures on padic geometry [2020]
 Scholze, Peter, author.
 Princeton, NJ : Princeton University Press, 2020
 Description
 Book — x, 250 pages ; 24 cm
 Summary

Berkeley Lectures on padic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of padic geometry. Building on his discovery of perfectoid spaces, Scholze introduced the concept of "diamonds, " which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixedcharacteristic shtuka, set the stage for a critical advance in the discipline. In this book, Peter Scholze and Jared Weinstein show that the moduli space of mixedcharacteristic shtukas is a diamond, raising the possibility of using the cohomology of such spaces to attack the Langlands conjectures for a reductive group over a padic field. This book follows the informal style of the original Berkeley lectures, with one chapter per lecture. It explores padic and perfectoid spaces before laying out the newer theory of shtukas and their moduli spaces. Points of contact with other threads of the subject, including pdivisible groups, padic Hodge theory, and RapoportZink spaces, are thoroughly explained. Berkeley Lectures on padic Geometry will be a useful resource for students and scholars working in arithmetic geometry and number theory.
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Shelved by Series title NO.207  Unknown 
7. Bimonoids for hyperplane arrangements [2020]
 Aguiar, Marcelo, 1968 author.
 Cambridge, United Kingdom : Cambridge University Press, 2020
 Description
 Book — xx, 832 pages : illustrations (some color) ; 25 cm
 Summary

 Introduction Part I. Species and Operads:
 1. Hyperplane arrangements
 2. Species and bimonoids
 3. Bimonads on species
 4. Operads Part II. Basic Theory of Bimonoids:
 5. Primitive filtrations and decomposable filtrations
 6. Universal constructions
 7. Examples of bimonoids
 8. Hadamard product
 9. Exponential and logarithm
 10. Characteristic operations
 11. Modules over monoid algebras and bimonoids in species
 12. Antipode Part III. Structure Results for Bimonoids:
 13. LodayRonco, LeraySamelson, BorelHopf
 14. HoffmanNewmanRadford
 15. Freeness under Hadamard products
 16. Lie monoids
 17. PoincareBirkhoffWitt and CartierMilnorMoore Appendix A. Linear algebra Appendix B. Higher monads Appendix C. Internal hom Appendix D. Semidirect products References Notation index Author index Subject index.
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QA613.8 .A383 2020  Unknown 
 Behrndt, Jussi, author.
 Cham : Birkhäuser, Springer, [2020]
 Description
 Book — vii, 772 pages : illustrations ; 25 cm
 Summary

 Preface
 Introduction
 Linear Relations in Hilbert Spaces
 Elementary facts about linear relations
 Spectra, resolvent sets, and points of regular type
 Adjoint relations
 Symmetric relations
 Selfadjoint relations
 Maximal dissipative and accumulative relations
 Intermediate extensions and von Neumann's formulas
 Adjoint relations and indefinite inner products
 Convergence of sequences of relations
 Parametric representations for relations
 Resolvent operators with respect to a bounded operator
 Nevanlinna families and their representations
 Boundary Triplets and Weyl Functions
 Boundary triplets
 Boundary value problems
 Associated ...fields and Weyl functions
 Existence and construction of boundary triplets
 Transformations of boundary triplets
 Kreĭn's formula for intermediate extensions
 Kreĭn's formula for exit space extensions
 Perturbation problems
 Spectra, Simple Operators, and Weyl Functions
 Analytic descriptions of minimal supports of Borel measures
 Growth points of finite Borel measures
 Spectra of selfadjoint relations
 Simple symmetric operators
 Eigenvalues and eigenspaces
 Spectra and local minimality
 Limit properties of Weyl functions
 Spectra and local minimality for selfadjoint extensions
 Operator Models for Nevanlinna Functions
 Reproducing kernel Hilbert spaces
 Realization of uniformly strict Nevanlinna functions
 Realization of scalar Nevanlinna functions via L²space models
 Realization of Nevanlinna pairs and generalized resolvents
 Kreĭn's formula for exit space extensions
 Orthogonal coupling of boundary triplets
 Boundary Triplets and Boundary Pairs for Semibounded Relations
 Closed semibounded forms and their representations
 Ordering and monotonicity
 Friedrichs extensions of semibounded relations
 Semibounded selfadjoint extensions and their lower bounds
 Boundary triplets for semibounded relations
 Boundary pairs and boundary triplets
 SturmLiouville Operators
 SturmLiouville differential expressions
 Maximal and minimal SturmLiouville differential operators
 Regular and limitcircle endpoints
 The case of one limitpoint endpoint
 The case of two limitpoint endpoints and interface conditions
 Exit space extensions
 Weyl functions and subordinate solutions
 Semibounded SturmLiouville expressions in the regular case
 Closed semibounded forms for SturmLiouville equations
 Principal and nonprincipal solutions of SturmLiouville equations
 Semibounded SturmLiouville operators and the limitcircle case
 Semibounded SturmLiouville operators and the limitpoint case
 Integrable potentials
 Canonical Systems of Differential Equations
 Classes of integrable functions
 Canonical systems of differential equations
 Regular and quasiregular endpoints
 Squareintegrability of solutions of real canonical systems
 Definite canonical systems
 Maximal and minimal relations for canonical systems
 Boundary triplets for the limitcircle case
 Boundary triplets for the limitpoint case
 Weyl functions and subordinate solutions
 Special classes of canonical systems
 Schrodinger Operators on Bounded Domains
 Rigged Hilbert spaces
 Sobolev spaces, C²domains, and trace operators
 Trace maps for the maximal Schrödinger operator
 A boundary triplet for the maximal Schrödinger operator
 Semibounded Schrödinger operators
 Coupling of Schrödinger operators
 Bounded Lipschitz domains
 Integral Representations of Nevanlinna Functions
 Borel transforms and their Stieltjes inversion
 Scalar Nevanlinna functions
 Operatorvalued integrals
 Operatorvalued Nevanlinna functions
 Kac functions
 Stieltjes and inverse Stieltjes functions
 Selfadjoint Operators and Fourier Transforms
 The scalar case
 The vector case
 Sums of Closed Subspaces in Hilbert Spaces
 Factorization of Bounded Linear Operators
 Notes
 Bibliography
 List of Symbols
 Index
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QA379 .B44 2020  Unknown 
 Ivanov, S. V. (Sergei V.) (Mathematician) author.
 Providence, RI : American Mathematical Society, [2020]
 Description
 Book — v, 106 pages ; 26 cm
 Summary

 Preliminaries
 Proof of proposition 1.1
 Calculus of brackets for group presentation (1.2)
 Proofs of theorem 1.2 and corollary 1.3
 Calculus of brackets for group presentation (1.4)
 Proof of theorem 1.4
 Minimizing diagrams over (1.2) and proofs of theorem 1.5 and corollary 1.6
 Construction of minimal diagrams over (1.4) and proof of theorem 1.7
 Polygonal curves in the plane and proofs of theorems 1.8, 1.9 and corollary 1.10.
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Shelved by Series title NO.1281  Unknown 
 Geck, Meinolf, author.
 Cambridge, United Kingdom ; New York : Cambridge University Press, 2020
 Description
 Book — ix, 394 pages : illustrations ; 24 cm
 Summary

 1. Reductive groups and Steinberg maps
 2. Lusztig's classification of irreducible characters
 3. HarishChandra theories
 4. Unipotent characters Appendix. Further reading and open questions References Index.
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QA177 .G435 2020  Unknown 
 Agrachev, Andrei A., author.
 Cambridge ; New York, NY : Cambridge University Press, 2020
 Description
 Book — xviii, 745 pages : illustrations ; 24 cm
 Summary

 Introduction
 1. Geometry of surfaces in R^3
 2. Vector fields
 3. SubRiemannian structures
 4. Pontryagin extremals: characterization and local minimality
 5. First integrals and integrable systems
 6. Chronological calculus
 7. Lie groups and leftinvariant subRiemannian structures
 8. Endpoint map and exponential map
 9. 2D almostRiemannian structures
 10. Nonholonomic tangent space
 11. Regularity of the subRiemannian distance
 12. Abnormal extremals and second variation
 13. Some model spaces
 14. Curves in the Lagrange Grassmannian
 15. Jacobi curves
 16. Riemannian curvature
 17. Curvature in 3D contact subRiemannian geometry
 18. Integrability of the subRiemannian geodesic flow on 3D Lie groups
 19. Asymptotic expansion of the 3D contact exponential map
 20. Volumes in subRiemannian geometry
 21. The subRiemannian heat equation Appendix. Geometry of parametrized curves in Lagrangian Grassmannians with Igor Zelenko References Index.
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QA671 .A47 2020  Unknown 
 Chousionis, Vasilionis, 1980 author.
 Providence, RI : American Mathematical Society, [2020]
 Description
 Book — viii, 155 pages : illustrations ; 26 cm
 Summary

 Carnot groups
 Carnot groups of Iwasawa type and conformal mappings
 Metric and geometric properties of conformal maps
 Conformal graph directed Markov systems
 Examples of GDMS in Carnot groups
 Countable alphabet symbolic dynamics : foundations of the thermodynamic formalism
 Hausdorff dimension of limit sets
 Conformal measures and regularity of domains
 Examples revisited
 Finer properties of limit sets : Hausdorff, packing and invariant measures
 Equivalent separation conditions for finite GDMS
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Shelved by Series title NO.1291  Unavailable In process 
13. A cornucopia of quadrilaterals [2020]
 Alsina, Claudi, author.
 Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society, [2020]
 Description
 Book — xi, 292 pages : illustrations ; 24 cm.
 Summary

 Simple quadrilaterals
 Quadrilaterals and their circles
 Diagonals of quadrilaterals
 Properties of trapezoids
 Applications of trapezoids
 Garfield trapezoids and rectangles
 Parallelograms
 Rectangles
 Squares
 Special quadrilaterals
 Quadrilateral numbers.
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QA482 .A47 2020  Unavailable On order 
 Adrianov, Nikolai M., 1973 author.
 Providence, Rhode Island : American Mathematical Society, [2020]
 Description
 Book — xi, 187 pages : illustrations ; 26 cm
 Summary

 Introduction. Dessins d'enfants: From polynomials through Belyi functions to weighted trees. Existence theorem. Recapitulation and perspective. Classification of unitrees. Computation of DavenportZannier pairs for unitrees. Primitive monodromy groups of weighted trees. Trees with primitive monodromy groups. A zoo of examples and constructions. Diophantine invariants. Enumeration. What remains to be done. Bibliography. Index.
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QA3 .A4 V.249  Unknown 
 André, Yves, 1959 author.
 Second Edition  Cham, Switzerland : Birkhäuser, Springer Nature Switzerland AG, [2020]
 Description
 Book — xiv, 241 pages : illustrations ; 25 cm
 Summary

 1 Regularity in several variables. 1 Geometric models of divisorially valued function fields. 2 Logarithmic differential operators. 3 Connections regular along a divisor. 4 Extensions with logarithmic poles. 5 Regular connections: the global case. 6 Exponents. Appendix A: A letter of Ph. Robba (Nov. 2, 1984). Appendix B: Models and log schemes. 2 Irregularity in several variables. 1 Spectral norms. 2 The generalized PoincareKatz rank of irregularity. 3 Some consequences of the TurrittinLeveltHukuhara theorem. 4 Newton polygons. 5 Stratification of the singular locus by Newton polygons. 6 Formal decomposition of an integrable connection at a singular divisor. 7 Cyclic vectors, indicial polynomials and tubular neighborhoods. 3 Direct images (the GaussManin connection). 1 Elementary fibrations. 2 Review of connections and De Rham cohomology. 3 Devissage. 4 Generic finiteness of direct images. 5 Generic base change for direct images. 6 Coherence of the cokernel of a regular connection. 7 Regularity and exponents of the cokernel of a regular connection. 8 Proof of the main theorems: finiteness, regularity, monodromy, base change (in the regular case). Appendix C: Berthelot's comparison theorem on OXDXlinear duals. Appendix D: Introduction to Dwork's algebraic dual theory. 4 Complex and padic comparison theorems. 1 Review of analytic connections and De Rham cohomology. 2 Abstract comparison criteria. 3 Comparison theorem for algebraic vs.complexanalytic cohomology. 4 Comparison theorem for algebraic vs. rigidanalytic cohomology (regular coefficients). 5 Rigidanalytic comparison theorem in relative dimension one. 6 Comparison theorem for algebraic vs. rigidanalytic cohomology (irregular coefficients). 7 The relative nonarchimedean Turrittin theorem. Appendix E: Riemann's "existence theorem" in higher dimension, an elementary approach. References.
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QA612.3 .A53 2020  Unknown 
16. Degree theory of immersed hypersurfaces [2020]
 Rosenberg, H. (Harold), 1941 author.
 Providence, RI : American Mathematical Society, 2020
 Description
 Book — v, 62 pages : illustrations ; 26 cm
 Summary

 Degree theory
 Applications
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Shelved by Series title NO.1290  Unavailable In process 
17. Derived categories [2020]
 Yekutiely, Amnon, author.
 Cambridge ; New York, NY : Cambridge University Press, 2020
 Description
 Book — xi, 607 pages : illustrations ; 24 cm
 Summary

 Introduction
 1. Basic facts on categories
 2. Abelian categories and additive functors
 3. Differential graded algebra
 4. Translations and standard triangles
 5. Triangulated categories and functors
 6. Localization of categories
 7. The derived category D(A, M)
 8. Derived functors
 9. DG and triangulated bifunctors
 10. Resolving subcategories of K(A, M)
 11. Existence of resolutions
 12. Adjunctions, equivalences and cohomological dimension
 13. Dualizing complexes over commutative rings
 14. Perfect and tilting DG modules over NC DG rings
 15. Algebraically graded noncommutative rings
 16. Derived torsion over NC graded rings
 17. Balanced dualizing complexes over NC graded rings
 18. Rigid noncommutative dualizing complexes References Index.
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QA169 .Y45 2020  Unknown 
 Harder, Günter, 1938 author.
 Princeton, New Jersey : Princeton University Press, 2020
 Description
 Book — xi, 220 pages : illustrations ; 24 cm
 Summary

 Introduction
 The cohomology of GLn
 Analytic tools
 Boundary cohomology
 The strongly inner spectrum and applications
 Eisenstein cohomology
 Lfunctions
 HarishChandra modules over Z / by Günter Harder
 Archimedean intertwining operator / by Uwe Weselmann
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Shelved by Series title NO.203  Unknown 
19. An elementary recursive bound for effective positivstellensatz and Hilbert's 17th problem [2020]
 Lombardi, Henri, author.
 Providence, RI : American Mathematical Society, 2020
 Description
 Book — v, 125 pages ; 26 cm
 Summary

 Introduction Weak inference and weak existence Intermediate value theorem Fundamental theorem of algebra Hermite's theory Elimination of one variable Proof of the main theorems Bibliography/References.
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Shelved by Series title NO.1277  Unknown 
 American Mathematical Society. Short Course, Discrete Differential Geometry (2018 : San Diego, Calif.), author.
 Providence, Rhode Island : American Mathematical Society, [2020]
 Description
 Book — x, 140 pages : illustrations (chiefly color) ; 26 cm
 Summary

 Preface / Keenan Crane
 Discrete Laplace operators / Max Wardetzky
 Discrete parametric surfaces / Johannes Wallner
 Discrete mappings / Yaron Lipman
 Conformal geometry of simplicial surfaces / Keenan Crane
 Optimal transport on discrete domains / Justin Solomon
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QA1 .S95 V.76  Unavailable In process 