Grove, K. /Madsen, Ib. /Pedersen, E. (eds. )

Geometry and Topology: Aarhus

Contemporary Mathematics,Vol. 258:
This volume includes both survey and research articles on major
advances and future developments in geometry and topology.
Papers include those presented as part of the 5th Aarhus Conference?
a meeting of international participants held in connection with
ICM Berlin in 1998nd related papers on the subject.
This collection of papers is aptly published in the Contemporary
Mathematics series, as the works represent the state of research
and address areas of future development in the area of manifold theory
and geometry. The survey articles in particular would serve well as
supplemental resources in related graduate courses.
2000 393 pp.
0-8218-2158-X
A. M. S.

Kashiwara Masaki /Miwa Tetsuji

Physical Combinatorics

Progress in Mathematics
This work is concerned with combinatorial aspects arising in
the theory of exactly solvable models and representation theory.
Recent developments in integrable models reveal an unexpected link
between representation theory and statistical mechanics through
combinatorics. Taking into account the various criss-crossing among
mathematical subjects, this book presents new results and exciting
ideas from three viewpoints: representation theory, integrable models,
and combinatorics.
July 2000 384 pp.
3-7643-4175-0

Dolbeault, P. /Henkin, G. /Iordan, A. /Skoda, H. /(eds.)

Complex Analysis and Geometry:
International Conference in Honor of Pierre Lelong

Progress in Mathematics Vol. 188:
The book opens with an exposition of the achievements of Pierre
Lelong on plurisubharmonic functions, closed positive currents,
and their further study by other mathematicians.
Moreover, a list of eleven open problems is given.
All other contributions contain new results related, for example,
to the following items:
- Capacities, product of positive currents, L2 extension theorems,
Bergman kernels and metrics, new properties of convex domains of
finite type - Non-compact boundaries of Levi-flat hypersurfaces of C2,
compact boundary problems as application of compactly supported measures
orthogonal to polynomials, Hartogs etheorem on some open subsets of
a projective manifold, Malgrange vanishing theorem with support conditions
- Embeddings for 3-dimensional CR-manifolds,
stationary complex curves and complete integrability
May 2000 241 pp.
3-7643-6352-5

Bost, J. -B. /Loeser, F. /Raynaud, M. (eds.)

Courbes Semi-Stables
et Goupe Fondamental En Geometrie Algebrique

Progress in Mathematics Vol. 187
The purpose of this volume is twofold. Firstly, it gives an account of basic
facts concerning rigid geometry, stable curves, and algebraic
fundamental groups, in a form which should make them largely
accessible to graduate students.
Most of this material has not yet appeared in book form yet.
Secondly, the book presents self-contained expositions of important
recent developments aimed at experts in number theory and
algebraic geometry, but it is also accessible to students who
have read the first part.
May 2000 289 pp.
3-7643-6308-8
Birkhauser