Integer Points in Polyhedra: Geometry, Number Theory, Algebra, Optimization (Contemporary Mathematics)

Integer Points in Polyhedra: Geometry, Number Theory, Algebra, Optimization (Contemporary Mathematics)


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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.


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

Product Details

  • ISBN13: 9780821834596
  • Format: Paperback
  • ID: 9780821834596
  • ISBN10: 0821834592

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