报告题目：Entropy Theory of Countable Group Actions

报告时间：2015年8月3日（周一）10:00-10:50

报告地点：金沙威尼斯欢乐娱人城105

报 告 人：张国华（教授、博导）单 位：复旦大学数学科学学院

举办单位：金沙威尼斯欢乐娱人城

摘 要：One of central problems in ergodic theory is deciding when two measurable dynamical systems are measurably conjugate. The usual way to tackle the problem is to look for measure-isomorphism invariants. Entropy is one of the most important such invariants. In this talk, I shall give a survey of entropy theory for countable discrete group actions, including recalling the classical entropy theory for the integer group action and discussing recent progress about entropy theory for countable amenable group actions and then for countable sofic group actions.

My talk is based on a series of joint works with A. Dooley (UK), T. Downarowicz & D. Huczek (Poland), W. Huang & X. D. Ye (China) and N.-P. Chung (Vietnam).

报告人简介：

张国华，复旦大学数学科学学院教授、博士生导师。2007年博士毕业于中国科学技术大学，2013年晋升教授，2015年任博士生导师。曾获得全国百篇优秀博士学位论文（2009年）、中科院院长特别奖（2007年）等奖项。已在Memoirs of the American Mathematical Society、Advances in Mathematics、Journal of Functional Analysis、Ergodic Theory and Dynamical Systems、Transactions of the American Mathematical Society等学术期刊上发表论文二十余篇。