Binghamton University


MATHEMATICAL SCIENCES
COLLOQUIUM


DATE: Thursday, October 31, 2002
TIME: 4:30-5:30 PM
PLACE: LN 2205
SPEAKER: Stephen Yau (University of Illinois at Chicago)
TITLE: Counting the number of integral points in an n-dimensional tetrahedron, and its applications

Abstract

Counting the number of integral points in a tetrahedron is an interesting problem which has attracted many famous mathematicians including Hardy, Littlewood, Mordell, Spencer, etc. Recently there has been significant progress due to the works of Beck, Brion-Vergne, Cappell-Shaneson, Danilov, Diaz-Robin, Ehrhart, Kantor-Khovanskii, Pommersheim, etc. In this talk we shall discuss the applications of this problem in number theory and algebraic geometry. We shall report recent progress on the GLY conjecture on a sharp estimate of the number of integral points in an n-dimensional tetrahedron with real vertices.


R E F R E S H M E N T S

4:00 To 4:25 PM
Kenneth W. Anderson
Memorial Reading Room