Arithmetic and geometry around quantization [electronic resource] / Özgür Ceyhan, Yuri I. Manin, Matilde Marcolli, editors.

In recent decades, quantization has led to interesting applications in various mathematical branches. This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program, qua...

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Bibliographic Details
Online Access: Full Text (via Springer)
Other Authors: Ceyhan, Özgür, Manin, I︠U︡. I., Marcolli, Matilde
Format: Electronic eBook
Language:English
Published: Boston ; Basel : Birkhäuser, ©2010.
Series:Progress in mathematics (Boston, Mass.) ; v. 279.
Subjects:

MARC

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245 0 0 |a Arithmetic and geometry around quantization  |h [electronic resource] /  |c Özgür Ceyhan, Yuri I. Manin, Matilde Marcolli, editors. 
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490 1 |a Progress in mathematics ;  |v v. 279. 
504 |a Includes bibliographical references and index. 
505 0 |a Mirror Duality via G 2 and Spin(7) Manifolds -- 2-Gerbes and 2-Tate Spaces -- The Geometry of Partial Order on Contact Transformations of Prequantization Manifolds -- Towards Quantum Cohomology of Real Varieties -- Weyl Modules and Opers without Monodromy -- Differentiable Operads, the Kuranishi Correspondence, and Foundations of Topological Field Theories Based on Pseudo-Holomorphic Curves -- Notes on the Self-Reducibility of the Weil Representation and Higher-Dimensional Quantum Chaos -- Notes on Canonical Quantization of Symplectic Vector Spaces over Finite Fields -- Noncommutative Geometry in the Framework of Differential Graded Categories -- Multiplicative Renormalization and Hopf Algebras. 
520 |a In recent decades, quantization has led to interesting applications in various mathematical branches. This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program, quantum ergodicity, and non-commutative geometry. A wide range of topics related to quantization are covered, giving a glimpse of the broad subject. The articlesare written by distinguished mathematicians in the fieldand reflect subsequent developments followingthe Arithmetic and Geometry around Quantization conference held in Istanbul. List of Contributors: S. Akbulut R. Hadani S. Arkhipov K. Kremnizer Ö. Ceyhan S. Mahanta E. Frenkel S. Salur K. FukayaG. Ben Simon D. GaitsgoryW. van Suijlekom S. Gurevich. 
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