Integer points in polyhedra--geometry, number theory,
representation theory, algebra, optimization, statistics; proceedings.

AMS-IMS-SIAM Joint Summer Research Conference (2006: Snowbird,
Utah) Ed. by Matthias Beck et al.

American Mathematical Society

2008

187 pages

$59.00

Paperback

Contemporary mathematics; v.452

QA174

Research and survey articles from a June 2006 conference highlight
recent advances related to lattice-point questions. Some specific topics
explored include lattice reformulation of integer programming problems,
Ehrhart polynomial roots and Stanley's non-negativity theorem,
enumeration of integer solutions to linear inequalities defined by
digraphs, and perfect Delaunay polytopes and perfect quadratic functions
on lattices. The book is suitable for researchers and graduate students
interested in combinatorial aspects of commutative algebra,
optimization, discrete geometry, statistics, mirror symmetry, and
geometry of numbers.

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