American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 2007; 211 pp; hardcover Volume: 221 ISBN10: 0821843710 ISBN13: 9780821843710 List Price: US$112 Member Price: US$89.60 Order Code: TRANS2/221
 The Institute for Theoretical and Experimental Physics (ITEP) is internationally recognized for achievements in various branches of theoretical physics. For many years, the seminars at ITEP have been among the main centers of scientific life in Moscow. This volume is a collection of articles by participants of the seminar on mathematical physics that has been held at ITEP since 1983. This is the second such collection; the first was published in the same series, AMS Translations, Series 2, vol. 191. The papers in the volume are devoted to several mathematical topics that strongly influenced modern theoretical physics. Among these topics are cohomology and representations of infinite Lie algebras and superalgebras, Hitchin and KnizhnikZamolodchikovBernard systems, and the theory of \(D\)modules. The book is intended for graduate students and research mathematicians working in algebraic geometry, representation theory, and mathematical physics. Readership Graduate students and research mathematicians interested in mathematical physics. Table of Contents  B. Enriquez and V. Rubtsov  HeckeTyurin parametrization of the Hitchin and KZB systems
 B. Feigin, A. N. Kirillov, and S. Loktev  Combinatorics and geometry of higher level Weyl modules
 V. V. Fock  CoshGordon equation and quasiFuchsian groups
 A. Gerasimov, S. Kharchev, D. Lebedev, and S. Oblezin  On a class of representations of quantum groups and its applications
 A. L. Gorodentsev, A. S. Khoroshkin, and A. N. Rudakov  On syzygies of highest weight orbits
 A. L. Gorodentsev and S. A. Kuleshov  On finest and modular tstabilities
 D. Kaledin  Hochschild homology and Gabber's theorem
 S. Khoroshkin and S. Pakuliak  Method of projections of Drinfeld currents
 A. Levin and A. Zotov  On rational and elliptic forms and Painlevé VI equation
 Y. A. Neretin  Determinantal point processes and fermionic Fock space
 Y. A. Neretin  On adelic model of boson Fock space
 M. Verbitsky  Hypercomplex manifolds with trivial canonical bundle and their holonomy
