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Lecture 1: The minimum area convex lattice n-gon | Einstein Institute of Mathematics

Lecture 1: The minimum area convex lattice n-gon

Date: 
Thu, 27/11/200316:00
Location: 
Lecture Hall 2
Lecturer: 
Prof. Imre Bárány, Alfréd Rényi Mathematical Institute

 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.