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Fields Institute Communications 69 The Fields Institute for Research in Mathematical Sciences Károly Bezdek Antoine Deza Yinyu Ye Editors Geometry and Optimization Fields Institute Communications VOLUME 69 The Fields Institute for Research

  Fields Institute Communications 69

  The Fields Institute for Research in Mathematical Sciences

  Károly Bezdek

  Antoine Deza

  Yinyu Ye

  Editors

   Geometry

  and Optimization

  Fields Institute Communications

  VOLUME 69

  The Fields Institute for Research in Mathematical Sciences

  Fields Institute Editorial Board:

  Carl R. Riehm, Managing Editor

  Edward Bierstone, Director of the Institute

  Matheus Grasselli, Deputy Director of the Institute

  James G. Arthur, University of Toronto

  Kenneth R. Davidson, University of Waterloo

  Lisa Jeffrey, University of Toronto

  Barbara Lee Key?tz, Ohio State University

  Thomas S. Salisbury, York University

  Noriko Yui, Queen’s University

  The Fields Institute is a centre for research in the mathematical sciences, located in

  Toronto, Canada. The Institutes mission is to advance global mathematical activity

  in the areas of research, education and innovation. The Fields Institute is supported

  by the Ontario Ministry of Training, Colleges and Universities, the Natural Sciences

  and Engineering Research Council of Canada, and seven Principal Sponsoring

  Universities in Ontario (Carleton, McMaster, Ottawa, Toronto, Waterloo, Western

  and York), as well as by a growing list of Af?liate Universities in Canada, the U.S.

  and Europe, and several commercial and industrial partners.

  For further volumes:

  /series/10503

  ? ?

  ′

  Karoly Bezdek Antoine Deza Yinyu Ye

  Editors

   Geometry and

  Optimization

  The Fields Institute for Research 123

  in the Mathematical Sciences

  Editors

  ′

  Karoly Bezdek Antoine Deza

  Department of Mathematics Department of Computing and Software

  & Statistics McMaster University

  University of Calgary Hamilton, ON, Ca

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