Integer Points in Polyhedra

Erscheinungsjahr 2005
ISBN: 978-0-8218-3459-6
Verlag: American Mathematical Society

Buch, Englisch, Gewicht: 397 g

Reihe: Contemporary Mathematics

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.

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: Grobner 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. Schurmann: Problems from the Cottonwood Room

Zielgruppe

Graduate students and research mathematicians interested in combinatorics

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Über Autor(innen)

Alexander Barvinok, University of Michigan, Ann Arbor, MI, USA, Matthias Beck, San Francisco State University, CA, USA, Christian Haase, Duke University, Durham, NC, USA, Bruce Reznick, University of Illinois at Urbana, Champaign, IL, USA, and Volkmar Welker, Phillipps-Universitat Marburg, Germany