Title:Yau Number Theoretic Conjecture and it's Applications

Time: Sun， Jan. 08, 2017, PM 16:30-17:30

Speaker: Prof. Ke-pao Lin (Chang Gung University of Science and Technology)

Location:Room 4224, Building No.4, Wushan Campus

Abstract: Recently there has been tremendous interest in counting the number of integral points in n-dimensional tetrahedra with non-integral vertice. It has very important applications in primality testing and factoring in number

theory and in singularities theory. The novelty for Yau Number Theoretic Conjecture is that we count the lattice points

 in a polytope whose vertices are not necessarily integer points. The purpose of Yau Number Theoretic Conjecture is 

to formulate a conjecture on sharp upper estimate of the number of integral points in n-dimensional tetrahedra with non-integral vertice.  It is proven true up to 7 dimension recently. In this talk I will try to discuss how to generalize to general case.