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Dr. David Simmons, University of York, extends the theory of simultaneous Diophantine approximation to infinite dimensions. Moreover, Dirichlet-type theorems are discussed in a very general framework and define what it means for such a theorem to be optimal. We show that optimality is implied by but does not imply the existence of badly approximable points.           

Coffee will be served beforehand, 10:30 am, in the alcove outside FO 2.406.

JSOM 800 W. Campbell Road, Richardson, Texas 75080

Natural Sciences & Mathematics
Stephen McKeown

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