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
地点:管理科研楼1518
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.
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