*讲座内容简介：Llarull's theorem is a beautiful result about the PSC obtained by the index theory method. In this talk, I will recall several conjectures made by Gromov about the possible generalization of this theorem. Especially, I will report some recent progress about Llarull's theorem for the non-compact and foliated manifolds, which are joint works with with Guangxiang Su and Weiping Zhang.
王相生，山东大学数学学院副研究员。主要研究方向是整体微分几何。在J. reine angew. Math., Sci. China Math.，Sel. Math. New Ser.等杂志发表文章若干。