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1. Algebraic Geometry and Number Theory: In Honor of Vladimir Drinfeld's 50th Birthday (Progress in Mathematics)  
Hardcover: 643
Pages
(20060913)
list price: US$169.00  used & new: US$100.85 (price subject to change: see help) Asin: 0817644717 Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups. These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory. Contributors: A. Eskin, V.V. Fock, E. Frenkel, D. Gaitsgory, V. Ginzburg, A.B. Goncharov, E. Hrushovski, Y. Ihara, D. Kazhdan, M. Kisin, I. Krichever, G. Laumon, Yu.I. Manin, A. Okounkov, V. Schechtman, and M.A. Tsfasman. 
2. Chiral Algebras (Colloquium Publications (Amer Mathematical Soc)) by Alexander Beilinson, Vladimir Drinfeld  
Hardcover: 352
Pages
(200405)
list price: US$72.00  used & new: US$64.27 (price subject to change: see help) Asin: 0821835289 Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Chiral algebras form the primary algebraic structure of modern conformal field theory. Each chiral algebra lives on an algebraic curve, and in the special case where this curve is the affine line, chiral algebras invariant under translations are the same as wellknown and widely used vertex algebras. The exposition of this book covers the following topics: the "classical" counterpart of the theory, which is an algebraic theory of nonlinear differential equations and their symmetries; the local aspects of the theory of chiral algebras, including the study of some basic examples, such as the chiral algebras of differential operators; the formalism of chiral homology treating "the space of conformal blocks" of the conformal field theory, which is a "quantum" counterpart of the space of the global solutions of a differential equation. The book is intended for researchers working in algebraic geometry and its applications to mathematical physics and representation theory. 
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