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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, San Francisco, CA
Christian Haase Duke University, Durham, NC
Bruce Reznick University of Illinois at Urbana-Champaign, Urbana, IL
Volkmar Welker Philipps-Universität Marburg, Marburg, Germany
Integer Points in Polyhedra --- Geometry, Number Theory, Algebra, Optimization
Softcover ISBN:  978-0-8218-3459-6
Product Code:  CONM/374
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7964-1
Product Code:  CONM/374.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3459-6
eBook: ISBN:  978-0-8218-7964-1
Product Code:  CONM/374.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Integer Points in Polyhedra --- Geometry, Number Theory, Algebra, Optimization
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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, San Francisco, CA
Christian Haase Duke University, Durham, NC
Bruce Reznick University of Illinois at Urbana-Champaign, Urbana, IL
Volkmar Welker Philipps-Universität Marburg, Marburg, Germany
Softcover ISBN:  978-0-8218-3459-6
Product Code:  CONM/374
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7964-1
Product Code:  CONM/374.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3459-6
eBook ISBN:  978-0-8218-7964-1
Product Code:  CONM/374.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3742005; 191 pp
    MSC: Primary 52; Secondary 05; 11; 13; 14; 62; 68; 90

    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
     
     
    • Articles
    • José Agapito — A weighted version of quantization commutes with reduction for a toric manifold [ MR 2134758 ]
    • M. Beck, J. A. De Loera, M. Develin, J. Pfeifle and R. P. Stanley — Coefficients and roots of Ehrhart polynomials [ MR 2134759 ]
    • Beifang Chen — Ehrhart polynomials of lattice polyhedral functions [ MR 2134760 ]
    • Yuguo Chen, Ian Dinwoodie, Adrian Dobra and Mark Huber — Lattice points, contingency tables, and sampling [ MR 2134761 ]
    • Charles Cochet — Kostka numbers and Littlewood-Richardson coefficients [ MR 2134762 ]
    • Christian Haase — Polar decomposition and Brion’s theorem [ MR 2134763 ]
    • Patricia Hersh and Volkmar Welker — Gröbner basis degree bounds on ${\rm Tor}^{k[\Lambda ]}_{\bullet }(k,k)_\bullet $ and discrete Morse theory for posets [ MR 2134764 ]
    • Jean B. Lasserre — Integer programming, duality and superadditive functions [ MR 2134765 ]
    • Francisco Santos — The Cayley trick and triangulations of products of simplices [ MR 2134766 ]
    • Matthias Beck, Beifang Chen, Lenny Fukshansky, Christian Haase, Allen Knutson, Bruce Reznick, Sinai Robins and Achill Schürmann — Problems from the Cottonwood Room [ MR 2134767 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3742005; 191 pp
MSC: Primary 52; Secondary 05; 11; 13; 14; 62; 68; 90

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.

  • Articles
  • José Agapito — A weighted version of quantization commutes with reduction for a toric manifold [ MR 2134758 ]
  • M. Beck, J. A. De Loera, M. Develin, J. Pfeifle and R. P. Stanley — Coefficients and roots of Ehrhart polynomials [ MR 2134759 ]
  • Beifang Chen — Ehrhart polynomials of lattice polyhedral functions [ MR 2134760 ]
  • Yuguo Chen, Ian Dinwoodie, Adrian Dobra and Mark Huber — Lattice points, contingency tables, and sampling [ MR 2134761 ]
  • Charles Cochet — Kostka numbers and Littlewood-Richardson coefficients [ MR 2134762 ]
  • Christian Haase — Polar decomposition and Brion’s theorem [ MR 2134763 ]
  • Patricia Hersh and Volkmar Welker — Gröbner basis degree bounds on ${\rm Tor}^{k[\Lambda ]}_{\bullet }(k,k)_\bullet $ and discrete Morse theory for posets [ MR 2134764 ]
  • Jean B. Lasserre — Integer programming, duality and superadditive functions [ MR 2134765 ]
  • Francisco Santos — The Cayley trick and triangulations of products of simplices [ MR 2134766 ]
  • Matthias Beck, Beifang Chen, Lenny Fukshansky, Christian Haase, Allen Knutson, Bruce Reznick, Sinai Robins and Achill Schürmann — Problems from the Cottonwood Room [ MR 2134767 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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