character品种的动态研究
Dynamics on character varieties: a survey
摘要：
本文综述了近年来关于一个字双曲群的外自同构群在其到半单李群G的表示空间（共轭类）上的动力学的研究工作。所有这些结果都是由于闭曲面的映射类群在曲面的Teichmuller空间上适当地不连续作用的结果。我们探索两种设置。1)Guichard、Labourie和Wienhard的工作建立了Anosov表示空间上外自同构群作用的适当不连续性。2)Canary，Gelander，Lee，Magid，Minsky和Storm关于定义域群是紧致3-带边流形的基本群且G=PSL（2，C）的工作。
英文摘要：
We survey recent work on the dynamics of the outer automorphism group of a word hyperbolic group on spaces of (conjugacy classes of) representations ofthe group into a semi-simple Lie group G. All these results are motivated by the fact that the mapping class group of a closed surface acts properly discontinuously on the Teichmuller space of the surface. We explore two settings. 1) The work of Guichard, Labourie and Wienhard establishing the proper discontinuity of the action of outer automorphism groups on spaces of Anosov representations. 2) The work of Canary, Gelander, Lee, Magid, Minsky and Storm on the case where the domain group is the fundamental group of a compact 3-manifold with boundary and G=PSL(2,C).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
