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SUMMARY:Minimal Discrete Energy and Maximal Polarization - Ed Saff (Vander
 bilt University)
DTSTART:20170316T150000Z
DTEND:20170316T160000Z
UID:TALK69710@talks.cam.ac.uk
CONTACT:6743
DESCRIPTION:This talk concerns minimal energy point configurations as well
   as maximal\npolarization (Chebyshev) point configurations on manifolds\,
  which are \noptimization problems that are asymptotically related to best
 -packing and best-covering. In particular\, we discuss how to generate N p
 oints on a d-dimensional manifold that have the desirable local properties
  of well-separation and optimal order covering radius\, while asymptotical
 ly having a uniform distribution (as N grows large). Even for certain smal
 l numbers of points like N=5\,  optimal arrangements with regard to energy
  and polarization can be challenging problems. Connections to the very rec
 ent major breakthrough  on best-packing results in R^8 and R^24 will also 
 be described. 
LOCATION:MR 14\, CMS
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