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Softcover ISBN:  9780821841730 
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Softcover ISBN:  9780821841730 
Product Code:  CONM/452 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821881316 
Product Code:  CONM/452.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821841730 
eBook ISBN:  9780821881316 
Product Code:  CONM/452.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 452; 2008; 187 ppMSC: Primary 52; Secondary 05; 11; 13; 14; 90;
The AMSIMSSIAM Joint Summer Research Conference “Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics” was held in Snowbird, Utah in June 2006. This proceedings volume contains research and survey articles originating from the conference.
The volume is a cross section of recent advances connected to latticepoint questions. Similar to the talks given at the conference, topics range from commutative algebra to optimization, from discrete geometry to statistics, from mirror symmetry to geometry of numbers. The book is suitable for researchers and graduate students interested in combinatorial aspects of the above fields.
ReadershipGraduate students and research mathematicians interested in combinatorics and its applications.

Table of Contents

Articles

Karen Aardal — Lattice reformulation of integer programming problems [ MR 2405761 ]

Velleda Baldoni, Nicole Berline and Michèle Vergne — Local EulerMaclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope [ MR 2405762 ]

Victor Batyrev and Benjamin Nill — Combinatorial aspects of mirror symmetry [ MR 2405763 ]

Benjamin Braun and Mike Develin — Ehrhart polynomial roots and Stanley’s nonnegativity theorem [ MR 2405764 ]

J. William Davis, Erwin D’Souza, Sunyoung Lee and Carla D. Savage — Enumeration of integer solutions to linear inequalities defined by digraphs [ MR 2405765 ]

Robert Erdahl, Andrei Ordine and Konstantin Rybnikov — Perfect Delaunay polytopes and perfect quadratic functions on lattices [ MR 2405766 ]

Christian Haase and Tyrrell B. McAllister — Quasiperiod collapse and ${\rm GL}_n(\Bbb Z)$scissors congruence in rational polytopes [ MR 2405767 ]

Hidefumi Ohsugi and Takayuki Hibi — Quadratic Gröbner bases arising from combinatorics [ MR 2405768 ]

Kalle Karu — Ehrhart analogue of the $h$vector [ MR 2405769 ]

Akimichi Takemura and Ruriko Yoshida — Saturation points on faces of a rational polyhedral cone [ MR 2405770 ]

Zhiqiang Xu — An explicit formulation for two dimensional vector partition functions [ MR 2405771 ]

Matthias Beck, Benjamin Nill, Bruce Reznick, Carla Savage, Ivan Soprunov and Zhiqiang Xu — Let me tell you my favorite latticepoint problem $\dots $ [ MR 2405772 ]


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The AMSIMSSIAM Joint Summer Research Conference “Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics” was held in Snowbird, Utah in June 2006. This proceedings volume contains research and survey articles originating from the conference.
The volume is a cross section of recent advances connected to latticepoint questions. Similar to the talks given at the conference, topics range from commutative algebra to optimization, from discrete geometry to statistics, from mirror symmetry to geometry of numbers. The book is suitable for researchers and graduate students interested in combinatorial aspects of the above fields.
Graduate students and research mathematicians interested in combinatorics and its applications.

Articles

Karen Aardal — Lattice reformulation of integer programming problems [ MR 2405761 ]

Velleda Baldoni, Nicole Berline and Michèle Vergne — Local EulerMaclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope [ MR 2405762 ]

Victor Batyrev and Benjamin Nill — Combinatorial aspects of mirror symmetry [ MR 2405763 ]

Benjamin Braun and Mike Develin — Ehrhart polynomial roots and Stanley’s nonnegativity theorem [ MR 2405764 ]

J. William Davis, Erwin D’Souza, Sunyoung Lee and Carla D. Savage — Enumeration of integer solutions to linear inequalities defined by digraphs [ MR 2405765 ]

Robert Erdahl, Andrei Ordine and Konstantin Rybnikov — Perfect Delaunay polytopes and perfect quadratic functions on lattices [ MR 2405766 ]

Christian Haase and Tyrrell B. McAllister — Quasiperiod collapse and ${\rm GL}_n(\Bbb Z)$scissors congruence in rational polytopes [ MR 2405767 ]

Hidefumi Ohsugi and Takayuki Hibi — Quadratic Gröbner bases arising from combinatorics [ MR 2405768 ]

Kalle Karu — Ehrhart analogue of the $h$vector [ MR 2405769 ]

Akimichi Takemura and Ruriko Yoshida — Saturation points on faces of a rational polyhedral cone [ MR 2405770 ]

Zhiqiang Xu — An explicit formulation for two dimensional vector partition functions [ MR 2405771 ]

Matthias Beck, Benjamin Nill, Bruce Reznick, Carla Savage, Ivan Soprunov and Zhiqiang Xu — Let me tell you my favorite latticepoint problem $\dots $ [ MR 2405772 ]