2009-04-16 刘青 Index of algebraic varieties

刘青教授将在清华大学数学系给一个报告。报告的时间、地点、摘要如下：
主题：Index of algebraic varieties
时间：2009年4月16日（星期四）16:30
地点：清华大学理科楼1304报告厅
摘要： A classical problem in number theory is to decide whether a given
system of
polynomial equations with rational coefficients has solution with
rational numbers.
In arithmetic geometry,this problem is equivalent to decide whether a
given algebraic
variety defined over the field of rational numbers has a rational point.
In this talk
we will explain the notion of index of algebraic varieties which
controls partially
the existence of rational points. Some general results will be mentioned
without proof.