题目：Rationally connected varieties, rationally simply connected varieties, and rational points.
报告人： Jason Starr Stony Brook University
时间：6月19日 周一 10:00-11:00 ；6月22日 周四 9:00-10:00 ；6月23日 周五 10:00-11:00
摘要：During these lectures I will introduce the class of rationally connected varieties, roughly those projective manifolds satisfying a weak version of positive curvature. I will also introduce a stronger notion, "rationally simply connected" varieties that capture a "higher" notion of positive curvature. I will explain various theorems about the properties and classification of these projective manifolds, but the focus will be on theorems of Graber-Harris-Starr, de Jong-Starr, and deJong-He-Starr proving existence of rational points for such varieties defined over various non-algebraically closed fields.