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The Zimmer program for hyperbolic actions

2026-05-06 14:06:17

时间2026511日(周一)15:00

地点: E14-212


报告人:大湾区大学,许地生

报告人简介:许地生,大湾区大学研究员,研究方向:动力系统,分形几何,谱理论,数学教育,AI4Math, 曾在Acta Math., Invent. Math. ,Duke Math J. , JEMS(2)., Annales ENS等国际期刊发表(或接受)论文,动力系统系列会议Beyond Uniform Hyperbolicity 组委会成员,多次担任冬令营及集训队命题组成员。

讲座主题The Zimmer program for hyperbolic actions

讲座摘要Zimmer's superrigidity theorems on higher rank Lie groups and their lattices launched a program of study aiming to classify actions of semisimple Lie groups and their lattices, known as the Zimmer program. When the group is too large relative to the dimension of the phase space, the Zimmer conjecture predicts that the actions are all virtually trivial. At the other extreme, when the actions exhibit enough regular behavior, the actions should all be of algebraic origin. I will talk about recent progress on the Zimmer program, joint work with D. Damjanovic, R. Spatzier and K. Vinhage. (Will be self-contained)