Integer points in polyhedra : geometry, number theory, algebra, optimization : proceedings of an AMSIMSSIAM Joint Summer Research Conference on Integer Points in Polyhedra, Geometry, Number Theory, Algebra, Optimization, July 1317, 2003, Snowbird, Utah

Contributor(s): Barvinok AlexanderMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 374Publication details: Providence, R.I. : American Mathematical Society, 2005Description: 1 online resource (xi, 191 p. : ill.)ISBN: 9780821879641 (online)Subject(s): Convex sets | Lattice theory | Number theory | Polyhedral functions | PolynomialsOnline resources: Click here to access online
Contents:
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 LittlewoodRichardson coefficients ; Polar decomposition and Brion's theorem ; Grobner basis degree bounds on Jose 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 Schurmann
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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 LittlewoodRichardson coefficients ; Polar decomposition and Brion's theorem ; Grobner basis degree bounds on rm Tor^k[\Lambda ]_\bullet (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 Jose 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 Schurmann

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