Slow entropy of higher rank abelian unipotent actions

：魏达仁（耶路撒冷希伯来大学）
：2021-12-10 15:30
：腾讯会议ID：830629511（无密码）

报告人：魏达仁（耶路撒冷希伯来大学）

时  间：12月10日下午15:30

地  点：腾讯会议ID：830629511（无密码）

内容摘要:

We study slow entropy invariants for abelian unipotent actions U on any finite volume homogeneous space G/\Gamma. For every such action we show that the topological complexity can be computed directly from the dimension of a special decomposition of Lie(G) induced by Lie(U). Moreover, we are able to show that the metric complexity of the action coincides with its topological complexity, which provides a classification of these actions in isomorphic class. As a corollary, we obtain that the complexity of any abelian horocyclic action is only related to the dimension of G. This generalizes our previous rank one results from to higher rank abelian actions. This is a joint work with Adam Kanigowski, Philipp Kunde and Kurt Vinhage.

个人简介：

魏达仁，2014年本科毕业于北京大学，2020年博士研究生毕业于宾夕法尼亚州立大学，现为耶路撒冷希伯来大学数学研究所博士后。主要研究方向为齐性动力系统与慢熵，至今已在Duke .Math. J., Comm. Math. Phys., Ergod. Theory Dyn. Sys., Studia Math等期刊上发表多篇论文。

联系人：吴伟胜