季理真教授专题学术报告 I
2015-03-20 来源:数学科学研究中心活动地点:
活动类型:学术报告
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季理真教授专题学术报告 I
报告题目:Arithmetic group vs. thin groups
报告人:季理真 教授(美国密西根大学数学系)
时间:2015年3月27日(周五)下午3:00
地点:数学中心201教室
Abstract:Lie group is called a linear Lie goup if it can be realized as a closed subgoup of some GL(n,R).Linear Lie goups contain two important classes of discrete subgoup:arithmetic subgroups and thin subgroups.Locally symmetric spaces associated with arithmetic subgroups have finite voulme,while locally symmetric spaces associated with thin subgoups have infinite volume.The former is classical and has been studied extensively,while the latter has attracted a lot of attention only recently.We will discuss some similarily and differences between them from the perspectives of geometry and topolpgy,and also discuss some open problems,especially for the latter.
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