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发布时间:2017-04-12文章来源:浏览次数:157

报告题目:YauNumber Theoretic Conjecture and it's Applications

报告人:林克保教授 (台湾长庚科技大学)

报告时间:2017年01月08日(星期日)下午16:30-17:30

报告地点:4号楼4224室

 

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                                                                   数学学院

                                                                2017年01月05日

 

报告摘要:Recently there has been tremendous interest in counting the number ofintegral points in n-dimensional tetrahedra with non-integralvertice. It has very important applications in primality testing andfactoring in number theory and in singularities theory. The noveltyfor Yau Number Theoretic Conjecture is that we count the latticepoints in a polytope whose vertices are not necessarily integerpoints. The purpose of Yau Number Theoretic Conjecture is toformulate a conjecture on sharp upper estimate of the number ofintegral points in n-dimensional tetrahedra with non-integralvertice.  It is proven true up to 7 dimension recently. In thistalk I will try to discuss how to generalize to general case.