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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Colloquium
Imre Barany
University College London and Mathematical Institute of the Hungarian Academy of Sciences
The minimum area convex lattice $n$-gon
Abstract:
Let $A(n)$ be the minimum area of convex lattice $n$-gons. (Here lattice is the usual lattice of integer points in $R^2$.) G. E. Andrews proved in 1963 that $A(n)>cn^3$ for a suitable positive $c$. We show here that $\\lim A(n)/n^3$ exists, and explain what the shape of the minimizing convex lattice $n$-gon is. This is joint work with Norihide Tokushige.
Host: Van Vu
October 27, 2003
3:00 PM
AP&M 7321
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