Contents
Preface vii
List of Participants ix
Lattice reformulation of integer programming problems
KAREN AARDAL
1
Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart
coefficients of a rational polytope
VELLEDA BALDONI, NICOLE BERLINE, and MICHELE VERGNE 15
Combinatorial aspects of mirror symmetry
VICTOR BATYREV and BENJAMIN NILL 35
Ehrhart polynomial roots and Stanley's non-negativity theorem
BENJAMIN BRAUN and MIKE DEVELIN 67
Enumeration of integer solutions to linear inequalities defined by digraphs
J.
WILLIAM DAVIS, ERWIN D'SOUZA, SUNYOUNG LEE,
and CARLA D. SAVAGE 79
Perfect Delaunay polytopes and perfect quadratic functions on lattices
ROBERT ERDAHL, ANDREI 0RDINE, and KONSTANTIN RYBNIKOV 93
Quasi-period collapse and GLn(Z)-scissors congruence in rational polytopes
CHRISTIAN HAASE and TYRRELL B. McALLISTER 115
Quadratic Grobner bases arising from combinatorics
TAKAYUKI HIBI and HIDEFUMI 0HSUGI 123
Ehrhart analogue of the h-vector
KALLE KARU 139
Saturation points on faces of a rational polyhedral cone
AKIMICHI TAKEMURA AND RURIKO YOSHIDA 147
An explicit formulation for two dimensional vector partition functions
ZHIQIANG Xu 163
Let me tell you my favorite lattice-point problem ...
MATTHIAS BECK and BRUCE REZNICK (EDITORS) 179
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