Integer points in polyhedra-- geometry, number theory, representation theory, algebra, optimization, statistics : AMS-IMS-SIAM Joint Summer Research Conference, June 11-15, 2006, Snowbird, Utah / [electronic resource]
Matthias Beck ... [et al.], editors.
- Providence, R.I. : American Mathematical Society, c2008.
- 1 online resource (xi, 187 p. : ill.)
- Contemporary mathematics, v. 452 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 452. .
Includes bibliographical references.
Lattice reformulation of integer programming problems / Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope / Combinatorial aspects of mirror symmetry / Ehrhart polynomial roots and Stanley's non-negativity theorem / Enumeration of integer solutions to linear inequalities defined by digraphs / Perfect Delaunay polytopes and perfect quadratic functions on lattices / Quasi-period collapse and $_n(\Bbb Z)$-scissors congruence in rational polytopes / Quadratic Gr�obner bases arising from combinatorics / Ehrhart analogue of the $h$-vector / Saturation points on faces of a rational polyhedral cone / An explicit formulation for two dimensional vector partition functions / Let me tell you my favorite lattice-point problem $\dots $ / Karen Aardal -- Velleda Baldoni, Nicole Berline and Mich�ele Vergne -- Victor Batyrev and Benjamin Nill -- Benjamin Braun and Mike Develin -- J. William Davis, Erwin D'Souza, Sunyoung Lee and Carla D. Savage -- Robert Erdahl, Andrei Ordine and Konstantin Rybnikov -- Christian Haase and Tyrrell B. McAllister -- Hidefumi Ohsugi and Takayuki Hibi -- Kalle Karu -- Akimichi Takemura and Ruriko Yoshida -- Zhiqiang Xu -- 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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821881316 (online)
Ordered algebraic structures--Congresses.
Semigroups--Congresses.
Lattice theory--Congresses.
Diophantine equations--Congresses.
QA174 / .A65 2006
511.3/3
Includes bibliographical references.
Lattice reformulation of integer programming problems / Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope / Combinatorial aspects of mirror symmetry / Ehrhart polynomial roots and Stanley's non-negativity theorem / Enumeration of integer solutions to linear inequalities defined by digraphs / Perfect Delaunay polytopes and perfect quadratic functions on lattices / Quasi-period collapse and $_n(\Bbb Z)$-scissors congruence in rational polytopes / Quadratic Gr�obner bases arising from combinatorics / Ehrhart analogue of the $h$-vector / Saturation points on faces of a rational polyhedral cone / An explicit formulation for two dimensional vector partition functions / Let me tell you my favorite lattice-point problem $\dots $ / Karen Aardal -- Velleda Baldoni, Nicole Berline and Mich�ele Vergne -- Victor Batyrev and Benjamin Nill -- Benjamin Braun and Mike Develin -- J. William Davis, Erwin D'Souza, Sunyoung Lee and Carla D. Savage -- Robert Erdahl, Andrei Ordine and Konstantin Rybnikov -- Christian Haase and Tyrrell B. McAllister -- Hidefumi Ohsugi and Takayuki Hibi -- Kalle Karu -- Akimichi Takemura and Ruriko Yoshida -- Zhiqiang Xu -- 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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821881316 (online)
Ordered algebraic structures--Congresses.
Semigroups--Congresses.
Lattice theory--Congresses.
Diophantine equations--Congresses.
QA174 / .A65 2006
511.3/3