中科院数学与系统科学研究院
数学研究所
动力系统研究中心
学术报告会
报告人： 李寒峰 教授（SUNY at Buffalo，USA）
题 目：Sofic Entropy
时 间：2016.11.30（星期三）, 14:30-16:00
地 点：数学院南楼N913室
Abstract:
Entropy is one of the most important invariants in dynamical systems, in both measure-theoretic and topological settings. The original Kolmogorov-Sinai entropy was introduced for integer group actions in late 1950s and extended to amenable group actions in 1970s. After the break-through of Lewis Bowen in 2010, there is now a well-founded theory of entropy for actions of sofic groups. I will discuss the definition of sofic entropy, its application to Gottschalk's surjunctivity conjecture, and connection to the Fuglede-Kadison determinant in operator algebras.