中科院国家数学与交叉科学中心

数学与物理交叉部

学术报告会

题  目：Poincare-Einstein metrics and Yamabe invariants

报告人：韩 青 教授

时  间：2017.03.28 (星期二), 10:00--11:00

地  点：数学院南楼N818室

摘 要: In this talk we discuss the existence of infinitely many positive conformal classes on S⁷ which cannot be the conformal infinity of a Poincare-Einstein metric on the ball B^8.  We also discuss a sharp inequality between the Yamabe invariant of the conformal infinity and the Yamabe invariant of the interior (after a suitable compactification). The talk is based on a joint work with Matt Gursky.