Professor Imre Barany
(Budapest and London)
"The minimum area convex lattice n-gon"
Abstract: Let A(n) denote 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 the limit of A(n)/n^3 exists. Our computations suggest what the value of the limit is. We will also describe the shape of the minimizing convex lattice n-gon.
This is joint work with Norihide Tokushige.