【美国孟菲斯大学】Topological full groups and their application to geometric group theory, part I

报告题目：Topological full groups and their application to geometric group theory, part I

报告人：马昕（美国孟菲斯大学数学系）

报告时间：2023年5月12日上午10:30-11:30

报告地点：海山楼A1101

校内联系人：江永乐 副教授  联系电话：84708351-8033

报告摘要: Topological full groups, which is originally introduced by Giordano, Putnam and Skau as an algebraic invariant of orbit equivalence relations, have been playing important roles in geometric group theory by providing many interesting examples. Determining when such groups satisfy certain geometric/analytic properties therefore has attracted a lot of attentions.

In the first talk, we will give a brief review on backgrounds of this class of groups including earlier results on amenability, simplicity, soficity, and LEF-ness for topological full groups.

报告人简介：马昕，2019年获得美国得克萨斯农工大学博士学位（导师：David Kerr教授），现为孟菲斯大学博士后。主要研究方向包括动力系统，算子代数和几何群论。已在TAMS，IMRN，ETDS，JFA和PAMS等主流期刊发表多篇论文。