#38: New Perspectives in Algebraic Combinatorics
**Up:** MSRI Publications

# MSRI Publications -- Volume 38

## New Perspectives in Algebraic Combinatorics

### Edited by
Louis J. Billera,
Anders Björner,
Curtis Greene,
Rodica Simion, and
Richard P. Stanley

Algebraic combinatorics involves the use of techniques
from algebra, topology and geometry in the solution
of combinatorial problems, or the use of combinatorial methods
to attack problems in these areas. Problems amenable to
the methods of algebraic combinatorics arise in these or other areas
of
mathematics, or from diverse parts of applied mathematics.
Because of this interplay with many fields
of mathematics, algebraic combinatorics is an area in which
a wide variety of ideas and methods come together.
During 1996-97 MSRI held a full academic year program on
Combinatorics,
with special emphasis on algebraic combinatorics and its
connections with other branches of
mathematics, such as algebraic geometry, topology, commutative
algebra,
representation theory, and convex geometry. Different periods of the
year were devoted to research in enumeration, extremal questions,
geometric
combinatorics and representation theory.

The rich combinatorial problems arising from the study of these
various
areas are the subject of this book, which represents work
done or presented at seminars during the program. It contains
contributions on matroid bundles, combinatorial representation theory,
lattice points in polyhedra, bilinear forms, combinatorial
differential
topology and geometry, Macdonald polynomials and geometry, enumeration
of
matchings, the generalized Baues problem, and Littlewood-Richardson
semigroups.
These expository articles, written by some of the most respected
researchers in the field, present the state-of-the-art to graduate
students and researchers in combinatorics as well as algebra,
geometry,
and topology.