By Karoly Bezdek,Antoine Deza,Yinyu Ye
Optimization has lengthy been a resource of either idea and purposes for geometers, and conversely, discrete and convex geometry have supplied the principles for lots of optimization thoughts, resulting in a wealthy interaction among those topics. the aim of the Workshop on Discrete Geometry, the convention on Discrete Geometry and Optimization, and the Workshop on Optimization, held in September 2011 on the Fields Institute, Toronto, was once to additional stimulate the interplay among geometers and optimizers. This quantity displays the interaction among those parts.
The inspiring Fejes Tóth Lecture sequence, introduced by means of Thomas Hales of the college of Pittsburgh, exemplified this strategy. whereas those fields have lately witnessed loads of job and successes, many questions stay open. for instance, Fields medalist Stephen Smale acknowledged that the query of the lifestyles of a strongly polynomial time set of rules for linear optimization is without doubt one of the most crucial unsolved difficulties first and foremost of the twenty first century. The wide diversity of subject matters coated during this quantity demonstrates the numerous fresh and fruitful connections among diverse methods, and lines novel effects and state of the art surveys in addition to open problems.
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