报告题目： Zimmer's conjecture for nonsplit semisimple groups

报告人：安金鹏 教授 (北京大学)

时间：5月17日（星期五）上午8：30--9：30

地点：第五教学楼5305教室

摘要：Zimmer's conjecture states that a lattice in a higher rank real semisimple Lie group cannot act nontrivially on a compact manifold of dimension less than a constant given explicitly by the group. A breakthrough was made recently by Aaron Brown, David Fisher and Sebastian Hurtado. They proved the conjecture for cocompact lattices in split semisimple groups. For nonsplit groups, they also established a weaker result in which the dimension of the manifold is assumed to be less than a smaller constant. In this talk, we discuss the proof of Zimmer's conjecture for cocompact lattices in some nonsplit groups, including all complex semisimple groups and many noncomplex nonsplit almost-simple groups. This is a joint work with Aaron Brown and Zhiyuan Zhang.

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