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Integer points in polyhedra : geometry, number theory, algebra, optimization : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, Geometry, Number Theory, Algebra, Optimization, July 13-17, 2003, Snowbird, Utah / [electronic resource] Alexander Barvinok ... [et al.], editors. - Providence, R.I. : American Mathematical Society, 2005. - 1 online resource (xi, 191 p. : ill.) - Contemporary mathematics, v. 374 0271-4132 (print); 1098-3627 (online); . - Contemporary mathematics (American Mathematical Society) ; v. 374. .

Includes bibliographical references.

A weighted version of quantization commutes with reduction for a toric manifold / Coefficients and roots of Ehrhart polynomials / Ehrhart polynomials of lattice polyhedral functions / Lattice points, contingency tables, and sampling / Kostka numbers and Littlewood-Richardson coefficients / Polar decomposition and Brion's theorem / Gr�obner basis degree bounds on $^_(k,k)_\bullet $ and discrete Morse theory for posets / Integer programming, duality and superadditive functions / The Cayley trick and triangulations of products of simplices / Problems from the Cottonwood Room / Jos�e Agapito -- M. Beck, J. A. De Loera, M. Develin, J. Pfeifle and R. P. Stanley -- Beifang Chen -- Yuguo Chen, Ian Dinwoodie, Adrian Dobra and Mark Huber -- Charles Cochet -- Christian Haase -- Patricia Hersh and Volkmar Welker -- Jean B. Lasserre -- Francisco Santos -- Matthias Beck, Beifang Chen, Lenny Fukshansky, Christian Haase, Allen Knutson, Bruce Reznick, Sinai Robins and Achill Sch�urmann -- http://www.ams.org/conm/374/ http://dx.doi.org/10.1090/conm/374/06896 http://www.ams.org/conm/374/ http://dx.doi.org/10.1090/conm/374/06897 http://www.ams.org/conm/374/ http://dx.doi.org/10.1090/conm/374/06898 http://www.ams.org/conm/374/ http://dx.doi.org/10.1090/conm/374/06899 http://www.ams.org/conm/374/ http://dx.doi.org/10.1090/conm/374/06900 http://www.ams.org/conm/374/ http://dx.doi.org/10.1090/conm/374/06901 http://www.ams.org/conm/374/ http://dx.doi.org/10.1090/conm/374/06902 http://www.ams.org/conm/374/ http://dx.doi.org/10.1090/conm/374/06903 http://www.ams.org/conm/374/ http://dx.doi.org/10.1090/conm/374/06904 http://www.ams.org/conm/374/ http://dx.doi.org/10.1090/conm/374/06905

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


Mode of access : World Wide Web

ISBN: 9780821879641 (online)

Subjects--Topical Terms:
Lattice theory.
Polyhedral functions.
Convex sets.
Number theory.
Polynomials.

LC Class. No.: QA171.5 / .A47 2003

Dewey Class. No.: 516.3/5