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Integer Points in Polyhedra -- Geometry, Number Theory, Algebra, Optimization
Edited by: Alexander Barvinok, University of Michigan, Ann Arbor, MI, Matthias Beck, San Francisco State University, CA, Christian Haase, Duke University, Durham, NC, Bruce Reznick, University of Illinois at Urbana-Champaign, IL, and Volkmar Welker, Philipps-Universität Marburg, Germany
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Contemporary Mathematics
2005; 191 pp; softcover
Volume: 374
ISBN-10: 0-8218-3459-2
ISBN-13: 978-0-8218-3459-6
List Price: US$65
Member Price: US$52
Order Code: CONM/374
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The AMS-IMS-SIAM Summer Research Conference on Integer Points in Polyhedra took place in Snowbird (UT). This proceedings volume contains original research and survey articles stemming from that event. Topics covered include commutative algebra, optimization, discrete geometry, statistics, representation theory, and symplectic geometry. The book is suitable for researchers and graduate students interested in combinatorial aspects of the above fields.

Readership

Graduate students and research mathematicians interested in combinatorics.

Table of Contents

  • J. Agapito -- A weighted version of quantization commutes with reduction for a toric manifold
  • M. Beck, J. A. De Loera, M. Develin, J. Pfeifle, and R. P. Stanley -- Coefficients and roots of Ehrhart polynomials
  • B. Chen -- Ehrhart polynomials of lattice polyhedral functions
  • Y. Chen, I. Dinwoodie, A. Dobra, and M. Huber -- Lattice points, contingency tables, and sampling
  • C. Cochet -- Kostka numbers and Littlewood-Richardson coefficients
  • C. Haase -- Polar decomposition and Brion's theorem
  • P. Hersh and V. Welker -- Gröbner basis degree bounds on Tor\(^{k[\Lambda ]}_\bullet(k,k)_\bullet\) and discrete Morse theory for posets
  • J. B. Lasserre -- Integer programming duality and superadditive functions
  • F. Santos -- The Cayley trick and triangulations of products of simplices
  • M. Beck, B. Chen, L. Fukshansky, C. Haase, A. Knutson, B. Reznick, S. Robins, and A. Schürmann -- Problems from the Cottonwood Room
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