Jerusalem Mathematics Colloquium

Thursday, 27th November 2003, 4:00 pm
Mathematics Building, Lecture Hall 2

The Jerusalem Mathematics Colloquium is happy to host
the first of the three annual ERDOS LECTURES.

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.

Light refreshments will be served in the faculty lounge at 3:30.

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