Integer points in polyhedra-- geometry, number theory, representation theory, algebra, optimization, statistics : [electronic resource] AMS-IMS-SIAM Joint Summer Research Conference, June 11-15, 2006, Snowbird, Utah / Matthias Beck ... [et al.], editors.

By: AMS-IMS-SIAM Joint Summer Research Conference Integer Points in Polyhedra--Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics (2006 : Snowbird, Utah)Contributor(s): Beck, MatthiasMaterial type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 452.Publication details: Providence, R.I. : American Mathematical Society, c2008Description: 1 online resource (xi, 187 p. : ill.)ISBN: 9780821881316 (online)Subject(s): Ordered algebraic structures -- Congresses | Semigroups -- Congresses | Lattice theory -- Congresses | Diophantine equations -- CongressesAdditional physical formats: Integer points in polyhedra-- geometry, number theory, representation theory, algebra, optimization, statistics :DDC classification: 511.3/3 LOC classification: QA174 | .A65 2006Online resources: Contents | Contents
Contents:
Lattice reformulation of integer programming problems / Karen Aardal -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08768 Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope / Velleda Baldoni, Nicole Berline and Mich�ele Vergne -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08769 Combinatorial aspects of mirror symmetry / Victor Batyrev and Benjamin Nill -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08770 Ehrhart polynomial roots and Stanley's non-negativity theorem / Benjamin Braun and Mike Develin -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08773 Enumeration of integer solutions to linear inequalities defined by digraphs / J. William Davis, Erwin D'Souza, Sunyoung Lee and Carla D. Savage -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08774 Perfect Delaunay polytopes and perfect quadratic functions on lattices / Robert Erdahl, Andrei Ordine and Konstantin Rybnikov -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08776 Quasi-period collapse and ${\rm GL}_n(\Bbb Z)$-scissors congruence in rational polytopes / Christian Haase and Tyrrell B. McAllister -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08777 Quadratic Gr�obner bases arising from combinatorics / Hidefumi Ohsugi and Takayuki Hibi -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08778 Ehrhart analogue of the $h$-vector / Kalle Karu -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08779 Saturation points on faces of a rational polyhedral cone / Akimichi Takemura and Ruriko Yoshida -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08780 An explicit formulation for two dimensional vector partition functions / Zhiqiang Xu -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08781 Let me tell you my favorite lattice-point problem $\dots $ / Matthias Beck, Benjamin Nill, Bruce Reznick, Carla Savage, Ivan Soprunov and Zhiqiang Xu -- http://www.ams.org/conm/452/ http://dx.doi.org/10.1090/conm/452/08782
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Includes bibliographical references.

Lattice reformulation of integer programming problems / Karen Aardal -- Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope / Velleda Baldoni, Nicole Berline and Mich�ele Vergne -- Combinatorial aspects of mirror symmetry / Victor Batyrev and Benjamin Nill -- Ehrhart polynomial roots and Stanley's non-negativity theorem / Benjamin Braun and Mike Develin -- Enumeration of integer solutions to linear inequalities defined by digraphs / J. William Davis, Erwin D'Souza, Sunyoung Lee and Carla D. Savage -- Perfect Delaunay polytopes and perfect quadratic functions on lattices / Robert Erdahl, Andrei Ordine and Konstantin Rybnikov -- Quasi-period collapse and ${\rm GL}_n(\Bbb Z)$-scissors congruence in rational polytopes / Christian Haase and Tyrrell B. McAllister -- Quadratic Gr�obner bases arising from combinatorics / Hidefumi Ohsugi and Takayuki Hibi -- Ehrhart analogue of the $h$-vector / Kalle Karu -- Saturation points on faces of a rational polyhedral cone / Akimichi Takemura and Ruriko Yoshida -- An explicit formulation for two dimensional vector partition functions / Zhiqiang Xu -- Let me tell you my favorite lattice-point problem $\dots $ / Matthias Beck, Benjamin Nill, Bruce Reznick, Carla Savage, Ivan Soprunov and Zhiqiang Xu --

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08768

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08769

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08770

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08773

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08774

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08776

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08777

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08778

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08779

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08780

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08781

http://www.ams.org/conm/452/

http://dx.doi.org/10.1090/conm/452/08782

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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