美国西北大学Qiang Zeng副教授讲学通知

发稿时间:2016-07-28浏览次数:10

讲座题目:Mixed q-Gaussian algebras and free transport

                      Mixed $q$-Gaussian algebras and free transport

讲座摘要:The so-called mixed $q$-Gaussian algebras are the von Neumann algebras generated from the $q_{ij}$-commutation relation introduced by Speicher in 1993. In this talk, I will report some recent results for these algebras, including both analytical and operator algebraic properties. They are in fact isomorphic to the free group factor $L(\fz_N)$ provided $q_{ij}$'s are small in a certain sense. Here $N \in \{2,3,\ldots\}\cup \{+\infty \}$ is the number of generators. The infinite generator case is proved by extending the free transport theory of Guionnet and Shlyakhtenko to the case of infinite variables. Joint works with Marius Junge and Brent Nelson.

讲座时间:2016.08.0215:00

讲座地点:格物楼503报告厅

讲座人:Qiang Zeng

Qiang Zeng是美国西北大学数学系的副教授,他的研究兴趣方向主要是概率论,泛函分析,算子代数,数学物理。