**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

2007; 211 pp; Hardcover

MSC: Primary 00; Secondary 37

**Print ISBN: 978-0-8218-4371-0**

Product Code: TRANS2/221

Product Code: TRANS2/221

List Price: $126.00

AMS Member Price: $100.80

MAA Member Price: $113.40

**Electronic ISBN: 978-1-4704-3431-1
Product Code: TRANS2/221.E**

List Price: $118.00

AMS Member Price: $94.40

MAA Member Price: $106.20

# Moscow Seminar on Mathematical Physics, II

Share this page *Edited by *
*Yu. Neretin; M. Olshanetsky; A. Rosly*

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 Knizhnik-Zamolodchikov-Bernard 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

## Moscow Seminar on Mathematical Physics, II

- Cover Cover11
- Title page iii4
- Copyright page iv5
- Contents v6
- Mathematical Physics Seminar in ITEP vii8
- Hecke-Tyurin parametrization of the Hitchin and KZB systems 110
- Combinatorics and geometry of higher level Weyl modules 3342
- Cosh-Gordon equation and quasi-Fuchsian groups 4958
- On a class of representations of quantum groups and its applications 5968
- On syzygies of highest weight orbits 7988
- On finest and modular t-stabilities 121130
- Hochschild homology and Gabber’s theorem 147156
- Method of projections of Drinfeld currents 157166
- On rational and elliptic forms and Painlevé VI equation 173182
- Determinantal point processes and fermionic Fock space 185194
- On adelic model of boson Fock space 193202
- Hypercomplex manifolds with trivial canonical bundle and their holonomy 203212
- Back Cover Back Cover1224