Representation Theory, Mathematical Physics, and Integrable Systems by Anton Alekseev
Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements.Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed.
Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.
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Groupoids, Inverse Semigroups, and their Operator Algebras
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Extrinsic Geometry of Foliations
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Progress in Mathematics
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Groups, Radical Rings, and the Yang-Baxter Equation
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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves
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De Rham Cohomology of Differential Modules on Algebraic Varieties
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Poisson Structures and Their Normal Forms
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Cubic Forms and the Circle Method
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Noncommutative Functional Calculus
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Thermodynamic Formalism and Applications to Dimension Theory
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Hypoelliptic Laplacian and BottChern Cohomology
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Yamabe-type Equations on Complete, Noncompact Manifolds
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Arithmetic and Geometry Around Galois Theory
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Evolution Equations of Hyperbolic and Schrodinger Type
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Vector Bundles on Complex Projective Spaces
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Residue Currents and Bezout Identities
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Tubes
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Seminaire de Theorie des Nombres, Paris 1987-88
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Lecture Notes on Mean Curvature Flow
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European Congress of Mathematics
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Momentum Maps and Hamiltonian Reduction
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Symplectic Geometry and Secondary Characteristic Classes
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Vanishing Theorems on Complex Manifolds
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Lie Groups: Structure, Actions, and Representations
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Ergodic Theory and Dynamical Systems I
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Andreotti-Grauert Theory by Integral Formulas
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Critical Point Theory for Lagrangian Systems
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Perspectives on Four Decades of Algebraic Geometry, Volume 2
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Complex Approximation
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The Radon Transform
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Quadratic Forms in Infinite Dimensional Vector Spaces
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Arithmetic on Modular Curves
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Complex Kleinian Groups
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Cardinal Invariants on Boolean Algebras
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Discrete Groups in Geometry and Analysis
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Lectures on Functor Homology
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New Horizons in pro-p Groups
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Introduction to Vertex Operator Algebras and Their Representations
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Topological Field Theory, Primitive Forms and Related Topics
| SKU | Unavailable |
| ISBN 13 | 9783030781507 |
| ISBN 10 | 303078150X |
| Title | Representation Theory, Mathematical Physics, and Integrable Systems |
| Author | Anton Alekseev |
| Series | Progress In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2023-02-05 |
| Number of pages | 643 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |