Arithmetic and Geometry Around Quantization [Hardcover]

This volume comprises both research and survey articles originating from the conference on Arithmetic and Geometry around Quantization held in Istanbul in 2006. A wide range of topics related to quantization are covered, thus aiming to give a glimpse of a broad subject in very different perspectives.

This volume comprises research and survey articles from the conference on Arithmetic and Geometry around Quantization held in Istanbul in 2006. A wide range of topics related to quantization are covered, and possible new research directions are highlighted.

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 articles are written by distinguished mathematicians in the field and reflect subsequent developments following the Arithmetic and Geometry around Quantization conference held in Istanbul.

List of Contributors: S. Akbulut, R. Hadani, S. Arkhipov, K. Kremnizer, ?. Ceyhan, S. Mahanta, E. Frenkel, S. Salur, K. Fukaya, G. Ben Simon, D. Gaitsgory, W. van Suijlekom, S. Gurevich.

Mirror Duality via G2 and Spin(7) Manifolds by Selman Akbulut and Sema Salur.-2-Gerbes and 2-Tate Spaces by Sergey Arkhipov and Kobi Kremnizer.-Towards Quantum Cohomology of Real Varieties by ?zg?r Ceyhan.-Weyl Modules and Opers without Monodromy by Edward Frenkel and Dennis Gaitsgory.-Differentiable Operad, Kuranishi Correspondence, and Foundation of Topological Field Theories Based on Pseudo-holomorphic Curve by Kenji Fukaya.-The Geometry of Partial Order on Contact Transformations of Prequantization Manifolds by Gabi Ben Simon.-Notesl³$