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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